Least Common Multiple of 92/780, 5840/5616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/780, 5840/5616 quickly i.e. 134320/156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/780, 5840/5616 is 134320/156.

LCM(92/780, 5840/5616) = 134320/156

LCM of 92/780, 5840/5616

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 92/780,5840/5616

Given numbers are 92/780,5840/5616

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 92,5840

Least Common Multiple of Numerators i.e. LCM of 92,5840 is 134320.

GCF of Denominators means GCF of 780,5616 as per the given fractions.

GCF of 780,5616 is 156 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,5840

LCM of Fractions 92/780,5840/5616 is 134320/156

2 92, 5840
2 46, 2920
23, 1460

∴ So the LCM of the given numbers is 2 x 2 x 23 x 1460 = 134320

Least Common Multiple of 92,5840 with GCF Formula

Least Common Multiple of 92,5840 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 92,5840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,5840) = 4

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

GCF(92,5840) x common factors =4 x 1 = 4

LCM(92,5840) = ( 92 × 5840 ) / 4

LCM(92,5840) = 537280 / 4

LCM(92,5840) = 134320


Lets's calculate GCF of 780,5616

2 780, 5616
2 390, 2808
3 195, 1404
13 65, 468
5, 36

∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134320/156

Therefore the LCM of Fractions 92/780,5840/5616 is 134320/156

Greatest Common Factor of 780,5616 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,5616 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Greatest Common Factor

We found the factors 780,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 780,5616 is 156.


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 92/780, 5840/5616

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 92/780, 5840/5616?

Answer: LCM of Numerators as per given numbers 92/780, 5840/5616 is

LCM of Numerators i.e. for 92,5840 is 134320

GCF of denominators i.e. for 780,5616 is 156.

Thus, LCM of Fractions is 134320/156.Finally, LCM of Fractions for 92/780, 5840/5616 is 134320/156.