Least Common Multiple of 2852/142, 2388/5014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2852/142, 2388/5014 quickly i.e. 851322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2852/142, 2388/5014 is 851322.

LCM(2852/142, 2388/5014) = 851322

LCM of 2852/142, 2388/5014

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 2852/142,2388/5014

Given numbers are 2852/142,2388/5014

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 2852,2388

Least Common Multiple of Numerators i.e. LCM of 2852,2388 is 1702644.

GCF of Denominators means GCF of 142,5014 as per the given fractions.

GCF of 142,5014 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2852,2388

LCM of Fractions 2852/142,2388/5014 is 851322

2 2852, 2388
2 1426, 1194
713, 597

∴ So the LCM of the given numbers is 2 x 2 x 713 x 597 = 1702644

Least Common Multiple of 2852,2388 with GCF Formula

Least Common Multiple of 2852,2388 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 2852,2388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2852,2388) = 4

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

GCF(2852,2388) x common factors =4 x 1 = 4

LCM(2852,2388) = ( 2852 × 2388 ) / 4

LCM(2852,2388) = 6810576 / 4

LCM(2852,2388) = 1702644


Lets's calculate GCF of 142,5014

2 142, 5014
71, 2507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1702644/2

Therefore the LCM of Fractions 2852/142,2388/5014 is 851322

Greatest Common Factor of 142,5014 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,5014 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1,2,23,46,109,218,2507,5014

Greatest Common Factor

We found the factors 142,5014 . The biggest common factor number is the GCF number.
So the greatest common factor 142,5014 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 2852/142, 2388/5014

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 2852/142, 2388/5014?

Answer: LCM of Numerators as per given numbers 2852/142, 2388/5014 is

LCM of Numerators i.e. for 2852,2388 is 1702644

GCF of denominators i.e. for 142,5014 is 2.

Thus, LCM of Fractions is 851322.Finally, LCM of Fractions for 2852/142, 2388/5014 is 851322.