Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/957, 51/812, 708/852 quickly i.e. 132396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/957, 51/812, 708/852 is 132396.
LCM(22/957, 51/812, 708/852) = 132396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/957,51/812,708/852
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 22,51,708
Least Common Multiple of Numerators i.e. LCM of 22,51,708 is 132396.
GCF of Denominators means GCF of 957,812,852 as per the given fractions.
GCF of 957,812,852 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,51,708
2 | 22, 51, 708 |
3 | 11, 51, 354 |
11, 17, 118 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 17 x 118 = 132396
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 22,51,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,51,708) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(22,51,708) x common factors =1 x 6 = 6
LCM(22,51,708) = ( 22 × 51 × 708 ) / 6
LCM(22,51,708) = 794376 / 6
LCM(22,51,708) = 132396
Lets's calculate GCF of 957,812,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132396/1
Therefore the LCM of Fractions 22/957,51/812,708/852 is 132396
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 957,812,852 . The biggest common factor number is the GCF number.
So the greatest common factor 957,812,852 is 1.
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 22/957, 51/812, 708/852?
Answer: LCM of Numerators as per given numbers 22/957, 51/812, 708/852 is
LCM of Numerators i.e. for 22,51,708 is 132396
GCF of denominators i.e. for 957,812,852 is 1.
Thus, LCM of Fractions is 132396.Finally, LCM of Fractions for 22/957, 51/812, 708/852 is 132396.