Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/762, 93/586, 953/232 quickly i.e. 88629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/762, 93/586, 953/232 is 88629.
LCM(62/762, 93/586, 953/232) = 88629
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/762,93/586,953/232
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 62,93,953
Least Common Multiple of Numerators i.e. LCM of 62,93,953 is 177258.
GCF of Denominators means GCF of 762,586,232 as per the given fractions.
GCF of 762,586,232 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,93,953
31 | 62, 93, 953 |
2, 3, 953 |
∴ So the LCM of the given numbers is 31 x 2 x 3 x 953 = 177258
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 62,93,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,93,953) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(62,93,953) x common factors =1 x 31 = 31
LCM(62,93,953) = ( 62 × 93 × 953 ) / 31
LCM(62,93,953) = 5494998 / 31
LCM(62,93,953) = 177258
Lets's calculate GCF of 762,586,232
2 | 762, 586, 232 |
381, 293, 116 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177258/2
Therefore the LCM of Fractions 62/762,93/586,953/232 is 88629
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 762,586,232 . The biggest common factor number is the GCF number.
So the greatest common factor 762,586,232 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 62/762, 93/586, 953/232?
Answer: LCM of Numerators as per given numbers 62/762, 93/586, 953/232 is
LCM of Numerators i.e. for 62,93,953 is 177258
GCF of denominators i.e. for 762,586,232 is 2.
Thus, LCM of Fractions is 88629.Finally, LCM of Fractions for 62/762, 93/586, 953/232 is 88629.