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Answer :
The value of x such that the hcf is 26 and the l.c.m is 1092 is 156
How to determine the value of x?
The numbers are given as:
182 and x
The HCF and LCM are given as:
HCF = 26
LCM = 1092
As a general rule;
The product of LCM and HCF of x and y equals the product of x and y
So, we have:
182 * x = 26 * 1092
Divide both sides by 182
x = 156
Hence, the value of x is 156
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To find the value of x, we use the relation between HCF and LCM. Substituting the given values and simplifying, we get x = 156.
To determine the value of x, given the highest common factor (HCF) of 182 and x is 26 and the lowest common multiple (LCM) of 182 and x is 1092, we follow these steps:
Use the relation between HCF and LCM: HCF(a, b) * LCM(a, b) = a * b.
- Substitute the given values:
26 * 1092 = 182 * x - Simplify the equation to find x:
28392 = 182 * x
x = 28392 / 182
x = 156
Thus, the value of x is 156.
