Least Common Multiple of 312/50, 432/10, 840/26

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/50, 432/10, 840/26 quickly i.e. 98280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/50, 432/10, 840/26 is 98280.

LCM(312/50, 432/10, 840/26) = 98280

LCM of 312/50, 432/10, 840/26

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 312/50,432/10,840/26

Given numbers are 312/50,432/10,840/26

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 312,432,840

Least Common Multiple of Numerators i.e. LCM of 312,432,840 is 196560.

GCF of Denominators means GCF of 50,10,26 as per the given fractions.

GCF of 50,10,26 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,432,840

LCM of Fractions 312/50,432/10,840/26 is 98280

2 312, 432, 840
2 156, 216, 420
2 78, 108, 210
3 39, 54, 105
13, 18, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 18 x 35 = 196560

Least Common Multiple of 312,432,840 with GCF Formula

Least Common Multiple of 312,432,840 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 312,432,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,432,840) = 24

common factors(in case of two or more numbers have common factors) = 24

GCF(312,432,840) x common factors =24 x 24 = 576

LCM(312,432,840) = ( 312 × 432 × 840 ) / 576

LCM(312,432,840) = 113218560 / 576

LCM(312,432,840) = 196560


Lets's calculate GCF of 50,10,26

2 50, 10, 26
25, 5, 13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196560/2

Therefore the LCM of Fractions 312/50,432/10,840/26 is 98280

Greatest Common Factor of 50,10,26 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,10,26 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Greatest Common Factor

We found the factors 50,10,26 . The biggest common factor number is the GCF number.
So the greatest common factor 50,10,26 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 312/50, 432/10, 840/26

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 312/50, 432/10, 840/26?

Answer: LCM of Numerators as per given numbers 312/50, 432/10, 840/26 is

LCM of Numerators i.e. for 312,432,840 is 196560

GCF of denominators i.e. for 50,10,26 is 2.

Thus, LCM of Fractions is 98280.Finally, LCM of Fractions for 312/50, 432/10, 840/26 is 98280.