Least Common Multiple of 67/50, 206/74, 560/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/50, 206/74, 560/938 quickly i.e. 1932280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/50, 206/74, 560/938 is 1932280.

LCM(67/50, 206/74, 560/938) = 1932280

LCM of 67/50, 206/74, 560/938

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 67/50,206/74,560/938

Given numbers are 67/50,206/74,560/938

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 67,206,560

Least Common Multiple of Numerators i.e. LCM of 67,206,560 is 3864560.

GCF of Denominators means GCF of 50,74,938 as per the given fractions.

GCF of 50,74,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,206,560

LCM of Fractions 67/50,206/74,560/938 is 1932280

2 67, 206, 560
67, 103, 280

∴ So the LCM of the given numbers is 2 x 67 x 103 x 280 = 3864560

Least Common Multiple of 67,206,560 with GCF Formula

Least Common Multiple of 67,206,560 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 67,206,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,206,560) = 1

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

GCF(67,206,560) x common factors =1 x 2 = 2

LCM(67,206,560) = ( 67 × 206 × 560 ) / 2

LCM(67,206,560) = 7729120 / 2

LCM(67,206,560) = 3864560


Lets's calculate GCF of 50,74,938

2 50, 74, 938
25, 37, 469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3864560/2

Therefore the LCM of Fractions 67/50,206/74,560/938 is 1932280

Greatest Common Factor of 50,74,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,74,938 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 50,74,938 . The biggest common factor number is the GCF number.
So the greatest common factor 50,74,938 is 2.


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 67/50, 206/74, 560/938

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 67/50, 206/74, 560/938?

Answer: LCM of Numerators as per given numbers 67/50, 206/74, 560/938 is

LCM of Numerators i.e. for 67,206,560 is 3864560

GCF of denominators i.e. for 50,74,938 is 2.

Thus, LCM of Fractions is 1932280.Finally, LCM of Fractions for 67/50, 206/74, 560/938 is 1932280.