Least Common Multiple of 257/30, 680/12, 634/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 257/30, 680/12, 634/369 quickly i.e. 55398920/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/30, 680/12, 634/369 is 55398920/3.

LCM(257/30, 680/12, 634/369) = 55398920/3

LCM of 257/30, 680/12, 634/369

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 257/30,680/12,634/369

Given numbers are 257/30,680/12,634/369

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 257,680,634

Least Common Multiple of Numerators i.e. LCM of 257,680,634 is 55398920.

GCF of Denominators means GCF of 30,12,369 as per the given fractions.

GCF of 30,12,369 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,680,634

LCM of Fractions 257/30,680/12,634/369 is 55398920/3

2 257, 680, 634
257, 340, 317

∴ So the LCM of the given numbers is 2 x 257 x 340 x 317 = 55398920

Least Common Multiple of 257,680,634 with GCF Formula

Least Common Multiple of 257,680,634 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 257,680,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,680,634) = 1

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

GCF(257,680,634) x common factors =1 x 2 = 2

LCM(257,680,634) = ( 257 × 680 × 634 ) / 2

LCM(257,680,634) = 110797840 / 2

LCM(257,680,634) = 55398920


Lets's calculate GCF of 30,12,369

3 30, 12, 369
10, 4, 123

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55398920/3

Therefore the LCM of Fractions 257/30,680/12,634/369 is 55398920/3

Greatest Common Factor of 30,12,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,12,369 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 30,12,369 . The biggest common factor number is the GCF number.
So the greatest common factor 30,12,369 is 3.


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 257/30, 680/12, 634/369

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 257/30, 680/12, 634/369?

Answer: LCM of Numerators as per given numbers 257/30, 680/12, 634/369 is

LCM of Numerators i.e. for 257,680,634 is 55398920

GCF of denominators i.e. for 30,12,369 is 3.

Thus, LCM of Fractions is 55398920/3.Finally, LCM of Fractions for 257/30, 680/12, 634/369 is 55398920/3.