Least Common Multiple of 56/92, 52/92, 77/96, 19/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/92, 52/92, 77/96, 19/290 quickly i.e. 76076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/92, 52/92, 77/96, 19/290 is 76076.

LCM(56/92, 52/92, 77/96, 19/290) = 76076

LCM of 56/92, 52/92, 77/96, 19/290

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 56/92,52/92,77/96,19/290

Given numbers are 56/92,52/92,77/96,19/290

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 56,52,77,19

Least Common Multiple of Numerators i.e. LCM of 56,52,77,19 is 152152.

GCF of Denominators means GCF of 92,92,96,290 as per the given fractions.

GCF of 92,92,96,290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,52,77,19

LCM of Fractions 56/92,52/92,77/96,19/290 is 76076

2 56, 52, 77, 19
2 28, 26, 77, 19
7 14, 13, 77, 19
2, 13, 11, 19

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 13 x 11 x 19 = 152152

Least Common Multiple of 56,52,77,19 with GCF Formula

Least Common Multiple of 56,52,77,19 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 56,52,77,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,52,77,19) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(56,52,77,19) x common factors =1 x 28 = 28

LCM(56,52,77,19) = ( 56 × 52 × 77 × 19 ) / 28

LCM(56,52,77,19) = 4260256 / 28

LCM(56,52,77,19) = 152152


Lets's calculate GCF of 92,92,96,290

2 92, 92, 96, 290
46, 46, 48, 145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152152/2

Therefore the LCM of Fractions 56/92,52/92,77/96,19/290 is 76076

Greatest Common Factor of 92,92,96,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,92,96,290 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 92,92,96,290 . The biggest common factor number is the GCF number.
So the greatest common factor 92,92,96,290 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 56/92, 52/92, 77/96, 19/290

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 56/92, 52/92, 77/96, 19/290?

Answer: LCM of Numerators as per given numbers 56/92, 52/92, 77/96, 19/290 is

LCM of Numerators i.e. for 56,52,77,19 is 152152

GCF of denominators i.e. for 92,92,96,290 is 2.

Thus, LCM of Fractions is 76076.Finally, LCM of Fractions for 56/92, 52/92, 77/96, 19/290 is 76076.