Least Common Multiple of 52/884, 5650/7823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/884, 5650/7823 quickly i.e. 146900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/884, 5650/7823 is 146900.

LCM(52/884, 5650/7823) = 146900

LCM of 52/884, 5650/7823

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 52/884,5650/7823

Given numbers are 52/884,5650/7823

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 52,5650

Least Common Multiple of Numerators i.e. LCM of 52,5650 is 146900.

GCF of Denominators means GCF of 884,7823 as per the given fractions.

GCF of 884,7823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,5650

LCM of Fractions 52/884,5650/7823 is 146900

2 52, 5650
26, 2825

∴ So the LCM of the given numbers is 2 x 26 x 2825 = 146900

Least Common Multiple of 52,5650 with GCF Formula

Least Common Multiple of 52,5650 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 52,5650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,5650) = 2

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

GCF(52,5650) x common factors =2 x 1 = 2

LCM(52,5650) = ( 52 × 5650 ) / 2

LCM(52,5650) = 293800 / 2

LCM(52,5650) = 146900


Lets's calculate GCF of 884,7823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146900/1

Therefore the LCM of Fractions 52/884,5650/7823 is 146900

Greatest Common Factor of 884,7823 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,7823 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 7823

List of positive integer factors of 7823 that divides 7823 without a remainder.

1,7823

Greatest Common Factor

We found the factors 884,7823 . The biggest common factor number is the GCF number.
So the greatest common factor 884,7823 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/884, 5650/7823

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 52/884, 5650/7823?

Answer: LCM of Numerators as per given numbers 52/884, 5650/7823 is

LCM of Numerators i.e. for 52,5650 is 146900

GCF of denominators i.e. for 884,7823 is 1.

Thus, LCM of Fractions is 146900.Finally, LCM of Fractions for 52/884, 5650/7823 is 146900.