Least Common Multiple of 94/132, 953/912, 680/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/132, 953/912, 680/308 quickly i.e. 7614470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/132, 953/912, 680/308 is 7614470.

LCM(94/132, 953/912, 680/308) = 7614470

LCM of 94/132, 953/912, 680/308

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 94/132,953/912,680/308

Given numbers are 94/132,953/912,680/308

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 94,953,680

Least Common Multiple of Numerators i.e. LCM of 94,953,680 is 30457880.

GCF of Denominators means GCF of 132,912,308 as per the given fractions.

GCF of 132,912,308 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,953,680

LCM of Fractions 94/132,953/912,680/308 is 7614470

2 94, 953, 680
47, 953, 340

∴ So the LCM of the given numbers is 2 x 47 x 953 x 340 = 30457880

Least Common Multiple of 94,953,680 with GCF Formula

Least Common Multiple of 94,953,680 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 94,953,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,953,680) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,953,680) x common factors =1 x 2 = 2

LCM(94,953,680) = ( 94 × 953 × 680 ) / 2

LCM(94,953,680) = 60915760 / 2

LCM(94,953,680) = 30457880


Lets's calculate GCF of 132,912,308

2 132, 912, 308
2 66, 456, 154
33, 228, 77

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30457880/4

Therefore the LCM of Fractions 94/132,953/912,680/308 is 7614470

Greatest Common Factor of 132,912,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,912,308 By Matching Biggest Common Factor Method

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

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 132,912,308 . The biggest common factor number is the GCF number.
So the greatest common factor 132,912,308 is 4.


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 94/132, 953/912, 680/308

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 94/132, 953/912, 680/308?

Answer: LCM of Numerators as per given numbers 94/132, 953/912, 680/308 is

LCM of Numerators i.e. for 94,953,680 is 30457880

GCF of denominators i.e. for 132,912,308 is 4.

Thus, LCM of Fractions is 7614470.Finally, LCM of Fractions for 94/132, 953/912, 680/308 is 7614470.