Least Common Multiple of 142/872, 8152/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/872, 8152/630 quickly i.e. 289396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/872, 8152/630 is 289396.

LCM(142/872, 8152/630) = 289396

LCM of 142/872, 8152/630

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 142/872,8152/630

Given numbers are 142/872,8152/630

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 142,8152

Least Common Multiple of Numerators i.e. LCM of 142,8152 is 578792.

GCF of Denominators means GCF of 872,630 as per the given fractions.

GCF of 872,630 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,8152

LCM of Fractions 142/872,8152/630 is 289396

2 142, 8152
71, 4076

∴ So the LCM of the given numbers is 2 x 71 x 4076 = 578792

Least Common Multiple of 142,8152 with GCF Formula

Least Common Multiple of 142,8152 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 142,8152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,8152) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(142,8152) x common factors =2 x 1 = 2

LCM(142,8152) = ( 142 × 8152 ) / 2

LCM(142,8152) = 1157584 / 2

LCM(142,8152) = 578792


Lets's calculate GCF of 872,630

2 872, 630
436, 315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 578792/2

Therefore the LCM of Fractions 142/872,8152/630 is 289396

Greatest Common Factor of 872,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,630 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 872,630 . The biggest common factor number is the GCF number.
So the greatest common factor 872,630 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 142/872, 8152/630

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 142/872, 8152/630?

Answer: LCM of Numerators as per given numbers 142/872, 8152/630 is

LCM of Numerators i.e. for 142,8152 is 578792

GCF of denominators i.e. for 872,630 is 2.

Thus, LCM of Fractions is 289396.Finally, LCM of Fractions for 142/872, 8152/630 is 289396.