Least Common Multiple of 142/23, 748/21, 125/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/23, 748/21, 125/315 quickly i.e. 6638500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/23, 748/21, 125/315 is 6638500.

LCM(142/23, 748/21, 125/315) = 6638500

LCM of 142/23, 748/21, 125/315

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 142/23,748/21,125/315

Given numbers are 142/23,748/21,125/315

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 142,748,125

Least Common Multiple of Numerators i.e. LCM of 142,748,125 is 6638500.

GCF of Denominators means GCF of 23,21,315 as per the given fractions.

GCF of 23,21,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,748,125

LCM of Fractions 142/23,748/21,125/315 is 6638500

2 142, 748, 125
71, 374, 125

∴ So the LCM of the given numbers is 2 x 71 x 374 x 125 = 6638500

Least Common Multiple of 142,748,125 with GCF Formula

Least Common Multiple of 142,748,125 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 142,748,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,748,125) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(142,748,125) x common factors =1 x 2 = 2

LCM(142,748,125) = ( 142 × 748 × 125 ) / 2

LCM(142,748,125) = 13277000 / 2

LCM(142,748,125) = 6638500


Lets's calculate GCF of 23,21,315

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6638500/1

Therefore the LCM of Fractions 142/23,748/21,125/315 is 6638500

Greatest Common Factor of 23,21,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,21,315 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 23,21,315 . The biggest common factor number is the GCF number.
So the greatest common factor 23,21,315 is 1.


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 142/23, 748/21, 125/315

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 142/23, 748/21, 125/315?

Answer: LCM of Numerators as per given numbers 142/23, 748/21, 125/315 is

LCM of Numerators i.e. for 142,748,125 is 6638500

GCF of denominators i.e. for 23,21,315 is 1.

Thus, LCM of Fractions is 6638500.Finally, LCM of Fractions for 142/23, 748/21, 125/315 is 6638500.