Least Common Multiple of 56/837, 7823/6792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/837, 7823/6792 quickly i.e. 438088/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/837, 7823/6792 is 438088/3.

LCM(56/837, 7823/6792) = 438088/3

LCM of 56/837, 7823/6792

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 56/837,7823/6792

Given numbers are 56/837,7823/6792

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 56,7823

Least Common Multiple of Numerators i.e. LCM of 56,7823 is 438088.

GCF of Denominators means GCF of 837,6792 as per the given fractions.

GCF of 837,6792 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,7823

LCM of Fractions 56/837,7823/6792 is 438088/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 438088

Least Common Multiple of 56,7823 with GCF Formula

Least Common Multiple of 56,7823 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 56,7823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,7823) = 1

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

GCF(56,7823) x common factors =1 x 1 = 1

LCM(56,7823) = ( 56 × 7823 ) / 1

LCM(56,7823) = 438088 / 1

LCM(56,7823) = 438088


Lets's calculate GCF of 837,6792

3 837, 6792
279, 2264

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438088/3

Therefore the LCM of Fractions 56/837,7823/6792 is 438088/3

Greatest Common Factor of 837,6792 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,6792 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 6792

List of positive integer factors of 6792 that divides 6792 without a remainder.

1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792

Greatest Common Factor

We found the factors 837,6792 . The biggest common factor number is the GCF number.
So the greatest common factor 837,6792 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/837, 7823/6792

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 56/837, 7823/6792?

Answer: LCM of Numerators as per given numbers 56/837, 7823/6792 is

LCM of Numerators i.e. for 56,7823 is 438088

GCF of denominators i.e. for 837,6792 is 3.

Thus, LCM of Fractions is 438088/3.Finally, LCM of Fractions for 56/837, 7823/6792 is 438088/3.