Least Common Multiple of 81/57, 890/48, 552/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/57, 890/48, 552/624 quickly i.e. 2210760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/57, 890/48, 552/624 is 2210760.

LCM(81/57, 890/48, 552/624) = 2210760

LCM of 81/57, 890/48, 552/624

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 81/57,890/48,552/624

Given numbers are 81/57,890/48,552/624

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 81,890,552

Least Common Multiple of Numerators i.e. LCM of 81,890,552 is 6632280.

GCF of Denominators means GCF of 57,48,624 as per the given fractions.

GCF of 57,48,624 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,890,552

LCM of Fractions 81/57,890/48,552/624 is 2210760

2 81, 890, 552
3 81, 445, 276
27, 445, 92

∴ So the LCM of the given numbers is 2 x 3 x 27 x 445 x 92 = 6632280

Least Common Multiple of 81,890,552 with GCF Formula

Least Common Multiple of 81,890,552 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 81,890,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,890,552) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(81,890,552) x common factors =1 x 6 = 6

LCM(81,890,552) = ( 81 × 890 × 552 ) / 6

LCM(81,890,552) = 39793680 / 6

LCM(81,890,552) = 6632280


Lets's calculate GCF of 57,48,624

3 57, 48, 624
19, 16, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6632280/3

Therefore the LCM of Fractions 81/57,890/48,552/624 is 2210760

Greatest Common Factor of 57,48,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,48,624 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 57,48,624 . The biggest common factor number is the GCF number.
So the greatest common factor 57,48,624 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 81/57, 890/48, 552/624

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 81/57, 890/48, 552/624?

Answer: LCM of Numerators as per given numbers 81/57, 890/48, 552/624 is

LCM of Numerators i.e. for 81,890,552 is 6632280

GCF of denominators i.e. for 57,48,624 is 3.

Thus, LCM of Fractions is 2210760.Finally, LCM of Fractions for 81/57, 890/48, 552/624 is 2210760.