Least Common Multiple of 907/430, 948/711, 786/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 907/430, 948/711, 786/132 quickly i.e. 112638516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 907/430, 948/711, 786/132 is 112638516.

LCM(907/430, 948/711, 786/132) = 112638516

LCM of 907/430, 948/711, 786/132

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 907/430,948/711,786/132

Given numbers are 907/430,948/711,786/132

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 907,948,786

Least Common Multiple of Numerators i.e. LCM of 907,948,786 is 112638516.

GCF of Denominators means GCF of 430,711,132 as per the given fractions.

GCF of 430,711,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 907,948,786

LCM of Fractions 907/430,948/711,786/132 is 112638516

2 907, 948, 786
3 907, 474, 393
907, 158, 131

∴ So the LCM of the given numbers is 2 x 3 x 907 x 158 x 131 = 112638516

Least Common Multiple of 907,948,786 with GCF Formula

Least Common Multiple of 907,948,786 with GCF Formula

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 907,948,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,948,786) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(907,948,786) x common factors =1 x 6 = 6

LCM(907,948,786) = ( 907 × 948 × 786 ) / 6

LCM(907,948,786) = 675831096 / 6

LCM(907,948,786) = 112638516


Lets's calculate GCF of 430,711,132

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112638516/1

Therefore the LCM of Fractions 907/430,948/711,786/132 is 112638516

Greatest Common Factor of 430,711,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,711,132 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 430,711,132 . The biggest common factor number is the GCF number.
So the greatest common factor 430,711,132 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 907/430, 948/711, 786/132

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 907/430, 948/711, 786/132?

Answer: LCM of Numerators as per given numbers 907/430, 948/711, 786/132 is

LCM of Numerators i.e. for 907,948,786 is 112638516

GCF of denominators i.e. for 430,711,132 is 1.

Thus, LCM of Fractions is 112638516.Finally, LCM of Fractions for 907/430, 948/711, 786/132 is 112638516.