Least Common Multiple of 312/547, 1780/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/547, 1780/816 quickly i.e. 138840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/547, 1780/816 is 138840.

LCM(312/547, 1780/816) = 138840

LCM of 312/547, 1780/816

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 312/547,1780/816

Given numbers are 312/547,1780/816

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 312,1780

Least Common Multiple of Numerators i.e. LCM of 312,1780 is 138840.

GCF of Denominators means GCF of 547,816 as per the given fractions.

GCF of 547,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,1780

LCM of Fractions 312/547,1780/816 is 138840

2 312, 1780
2 156, 890
78, 445

∴ So the LCM of the given numbers is 2 x 2 x 78 x 445 = 138840

Least Common Multiple of 312,1780 with GCF Formula

Least Common Multiple of 312,1780 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 312,1780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,1780) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(312,1780) x common factors =4 x 1 = 4

LCM(312,1780) = ( 312 × 1780 ) / 4

LCM(312,1780) = 555360 / 4

LCM(312,1780) = 138840


Lets's calculate GCF of 547,816

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138840/1

Therefore the LCM of Fractions 312/547,1780/816 is 138840

Greatest Common Factor of 547,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,816 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 547,816 . The biggest common factor number is the GCF number.
So the greatest common factor 547,816 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 312/547, 1780/816

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 312/547, 1780/816?

Answer: LCM of Numerators as per given numbers 312/547, 1780/816 is

LCM of Numerators i.e. for 312,1780 is 138840

GCF of denominators i.e. for 547,816 is 1.

Thus, LCM of Fractions is 138840.Finally, LCM of Fractions for 312/547, 1780/816 is 138840.