Least Common Multiple of 57/620, 110/925, 144/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/620, 110/925, 144/880 quickly i.e. 30096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/620, 110/925, 144/880 is 30096.

LCM(57/620, 110/925, 144/880) = 30096

LCM of 57/620, 110/925, 144/880

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 57/620,110/925,144/880

Given numbers are 57/620,110/925,144/880

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 57,110,144

Least Common Multiple of Numerators i.e. LCM of 57,110,144 is 150480.

GCF of Denominators means GCF of 620,925,880 as per the given fractions.

GCF of 620,925,880 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,110,144

LCM of Fractions 57/620,110/925,144/880 is 30096

2 57, 110, 144
3 57, 55, 72
19, 55, 24

∴ So the LCM of the given numbers is 2 x 3 x 19 x 55 x 24 = 150480

Least Common Multiple of 57,110,144 with GCF Formula

Least Common Multiple of 57,110,144 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 57,110,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,110,144) = 1

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

GCF(57,110,144) x common factors =1 x 6 = 6

LCM(57,110,144) = ( 57 × 110 × 144 ) / 6

LCM(57,110,144) = 902880 / 6

LCM(57,110,144) = 150480


Lets's calculate GCF of 620,925,880

5 620, 925, 880
124, 185, 176

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150480/5

Therefore the LCM of Fractions 57/620,110/925,144/880 is 30096

Greatest Common Factor of 620,925,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,925,880 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 620,925,880 . The biggest common factor number is the GCF number.
So the greatest common factor 620,925,880 is 5.


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 57/620, 110/925, 144/880

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 57/620, 110/925, 144/880?

Answer: LCM of Numerators as per given numbers 57/620, 110/925, 144/880 is

LCM of Numerators i.e. for 57,110,144 is 150480

GCF of denominators i.e. for 620,925,880 is 5.

Thus, LCM of Fractions is 30096.Finally, LCM of Fractions for 57/620, 110/925, 144/880 is 30096.