High School

We appreciate your visit to Find the Least Common Multiple L C M and the Highest Common Factor H C F of 24 36 and 60 L C M of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Find the Least Common Multiple (L.C.M.) and the Highest Common Factor (H.C.F.) of 24, 36, and 60.

L.C.M. of 24, 36, and 60:
- Prime factorization of 24: \(2 \times 2 \times 2 \times 3\)
- Prime factorization of 36: \(2 \times 2 \times 3 \times 3\)
- Prime factorization of 60: \(2 \times 2 \times 3 \times 5\)

The L.C.M. is found by multiplying the highest power of each prime factor:
\[2^3 \times 3^2 \times 5 = 360\]

H.C.F. of 24, 36, and 60:
- Common factors of 24, 36, and 60: \(2 \times 2 = 4\)

Therefore, the H.C.F. is 4.

Answer :

Final answer:

The Least Common Multiple (LCM) of 24, 36, and 60 is 2×2×2×3×5 which equals 360. The Highest Common Factor (HCF) of 24, 36, and 60 is 2×2 which equals 4.

Explanation:

You're asking about the Least Common Multiple (LCM) and the Highest Common Factor (HCF) of the numbers 24, 36, and 60.

The LCM of 24, 36, and 60 indeed is 360 (2×2×2×3×5). The process to find this involves factoring the numbers into their prime factors and multiplying each factor the greatest number of times it occurs in either number.

However, there seems to be a minor error in the HCF calculation. In simple terms, the Highest Common Factor (HCF) of two or more numbers is the highest number that divides exactly into each of them. If we factorise 24, 36, and 60 into their prime factors we get: 24 = 2×2×2×3, 36 = 2×2×3×3, and 60 = 2×2×3×5. The highest factor common to all three numbers is '2', and it occurs twice; therefore, the HCF of 24, 36, and 60 is 2×2 = 4 which is correct as you mentioned.

Learn more about LCM and HCF here:

https://brainly.com/question/35868919

#SPJ11

Thanks for taking the time to read Find the Least Common Multiple L C M and the Highest Common Factor H C F of 24 36 and 60 L C M of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada