Least Common Multiple of 56/942, 6088/4830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/942, 6088/4830 quickly i.e. 42616/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/942, 6088/4830 is 42616/6.

LCM(56/942, 6088/4830) = 42616/6

LCM of 56/942, 6088/4830

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 56/942,6088/4830

Given numbers are 56/942,6088/4830

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 56,6088

Least Common Multiple of Numerators i.e. LCM of 56,6088 is 42616.

GCF of Denominators means GCF of 942,4830 as per the given fractions.

GCF of 942,4830 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,6088

LCM of Fractions 56/942,6088/4830 is 42616/6

2 56, 6088
2 28, 3044
2 14, 1522
7, 761

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 761 = 42616

Least Common Multiple of 56,6088 with GCF Formula

Least Common Multiple of 56,6088 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 56,6088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,6088) = 8

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

GCF(56,6088) x common factors =8 x 1 = 8

LCM(56,6088) = ( 56 × 6088 ) / 8

LCM(56,6088) = 340928 / 8

LCM(56,6088) = 42616


Lets's calculate GCF of 942,4830

2 942, 4830
3 471, 2415
157, 805

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42616/6

Therefore the LCM of Fractions 56/942,6088/4830 is 42616/6

Greatest Common Factor of 942,4830 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,4830 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830

Greatest Common Factor

We found the factors 942,4830 . The biggest common factor number is the GCF number.
So the greatest common factor 942,4830 is 6.


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 56/942, 6088/4830

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 56/942, 6088/4830?

Answer: LCM of Numerators as per given numbers 56/942, 6088/4830 is

LCM of Numerators i.e. for 56,6088 is 42616

GCF of denominators i.e. for 942,4830 is 6.

Thus, LCM of Fractions is 42616/6.Finally, LCM of Fractions for 56/942, 6088/4830 is 42616/6.