Least Common Multiple of 57/44, 10/74, 33/22, 87/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/44, 10/74, 33/22, 87/682 quickly i.e. 90915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/44, 10/74, 33/22, 87/682 is 90915.

LCM(57/44, 10/74, 33/22, 87/682) = 90915

LCM of 57/44, 10/74, 33/22, 87/682

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 57/44,10/74,33/22,87/682

Given numbers are 57/44,10/74,33/22,87/682

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 57,10,33,87

Least Common Multiple of Numerators i.e. LCM of 57,10,33,87 is 181830.

GCF of Denominators means GCF of 44,74,22,682 as per the given fractions.

GCF of 44,74,22,682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,10,33,87

LCM of Fractions 57/44,10/74,33/22,87/682 is 90915

3 57, 10, 33, 87
19, 10, 11, 29

∴ So the LCM of the given numbers is 3 x 19 x 10 x 11 x 29 = 181830

Least Common Multiple of 57,10,33,87 with GCF Formula

Least Common Multiple of 57,10,33,87 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 57,10,33,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,10,33,87) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(57,10,33,87) x common factors =1 x 9 = 9

LCM(57,10,33,87) = ( 57 × 10 × 33 × 87 ) / 9

LCM(57,10,33,87) = 1636470 / 9

LCM(57,10,33,87) = 181830


Lets's calculate GCF of 44,74,22,682

2 44, 74, 22, 682
22, 37, 11, 341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181830/2

Therefore the LCM of Fractions 57/44,10/74,33/22,87/682 is 90915

Greatest Common Factor of 44,74,22,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,74,22,682 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 44,74,22,682 . The biggest common factor number is the GCF number.
So the greatest common factor 44,74,22,682 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 57/44, 10/74, 33/22, 87/682

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 57/44, 10/74, 33/22, 87/682?

Answer: LCM of Numerators as per given numbers 57/44, 10/74, 33/22, 87/682 is

LCM of Numerators i.e. for 57,10,33,87 is 181830

GCF of denominators i.e. for 44,74,22,682 is 2.

Thus, LCM of Fractions is 90915.Finally, LCM of Fractions for 57/44, 10/74, 33/22, 87/682 is 90915.