Least Common Multiple of 57/146, 66/448, 875/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/146, 66/448, 875/136 quickly i.e. 548625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/146, 66/448, 875/136 is 548625.

LCM(57/146, 66/448, 875/136) = 548625

LCM of 57/146, 66/448, 875/136

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 57/146,66/448,875/136

Given numbers are 57/146,66/448,875/136

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 57,66,875

Least Common Multiple of Numerators i.e. LCM of 57,66,875 is 1097250.

GCF of Denominators means GCF of 146,448,136 as per the given fractions.

GCF of 146,448,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,66,875

LCM of Fractions 57/146,66/448,875/136 is 548625

3 57, 66, 875
19, 22, 875

∴ So the LCM of the given numbers is 3 x 19 x 22 x 875 = 1097250

Least Common Multiple of 57,66,875 with GCF Formula

Least Common Multiple of 57,66,875 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 57,66,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,66,875) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,66,875) x common factors =1 x 3 = 3

LCM(57,66,875) = ( 57 × 66 × 875 ) / 3

LCM(57,66,875) = 3291750 / 3

LCM(57,66,875) = 1097250


Lets's calculate GCF of 146,448,136

2 146, 448, 136
73, 224, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1097250/2

Therefore the LCM of Fractions 57/146,66/448,875/136 is 548625

Greatest Common Factor of 146,448,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,448,136 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 146,448,136 . The biggest common factor number is the GCF number.
So the greatest common factor 146,448,136 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 57/146, 66/448, 875/136

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 57/146, 66/448, 875/136?

Answer: LCM of Numerators as per given numbers 57/146, 66/448, 875/136 is

LCM of Numerators i.e. for 57,66,875 is 1097250

GCF of denominators i.e. for 146,448,136 is 2.

Thus, LCM of Fractions is 548625.Finally, LCM of Fractions for 57/146, 66/448, 875/136 is 548625.