Least Common Multiple of 57/140, 88/440, 817/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/140, 88/440, 817/632 quickly i.e. 53922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/140, 88/440, 817/632 is 53922.

LCM(57/140, 88/440, 817/632) = 53922

LCM of 57/140, 88/440, 817/632

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 57/140,88/440,817/632

Given numbers are 57/140,88/440,817/632

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 57,88,817

Least Common Multiple of Numerators i.e. LCM of 57,88,817 is 215688.

GCF of Denominators means GCF of 140,440,632 as per the given fractions.

GCF of 140,440,632 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,88,817

LCM of Fractions 57/140,88/440,817/632 is 53922

19 57, 88, 817
3, 88, 43

∴ So the LCM of the given numbers is 19 x 3 x 88 x 43 = 215688

Least Common Multiple of 57,88,817 with GCF Formula

Least Common Multiple of 57,88,817 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 57,88,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,88,817) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(57,88,817) x common factors =1 x 19 = 19

LCM(57,88,817) = ( 57 × 88 × 817 ) / 19

LCM(57,88,817) = 4098072 / 19

LCM(57,88,817) = 215688


Lets's calculate GCF of 140,440,632

2 140, 440, 632
2 70, 220, 316
35, 110, 158

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215688/4

Therefore the LCM of Fractions 57/140,88/440,817/632 is 53922

Greatest Common Factor of 140,440,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,440,632 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 140,440,632 . The biggest common factor number is the GCF number.
So the greatest common factor 140,440,632 is 4.


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 57/140, 88/440, 817/632

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 57/140, 88/440, 817/632?

Answer: LCM of Numerators as per given numbers 57/140, 88/440, 817/632 is

LCM of Numerators i.e. for 57,88,817 is 215688

GCF of denominators i.e. for 140,440,632 is 4.

Thus, LCM of Fractions is 53922.Finally, LCM of Fractions for 57/140, 88/440, 817/632 is 53922.