Least Common Multiple of 2860/213, 7122/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2860/213, 7122/264 quickly i.e. 3394820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2860/213, 7122/264 is 3394820.

LCM(2860/213, 7122/264) = 3394820

LCM of 2860/213, 7122/264

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 2860/213,7122/264

Given numbers are 2860/213,7122/264

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 2860,7122

Least Common Multiple of Numerators i.e. LCM of 2860,7122 is 10184460.

GCF of Denominators means GCF of 213,264 as per the given fractions.

GCF of 213,264 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2860,7122

LCM of Fractions 2860/213,7122/264 is 3394820

2 2860, 7122
1430, 3561

∴ So the LCM of the given numbers is 2 x 1430 x 3561 = 10184460

Least Common Multiple of 2860,7122 with GCF Formula

Least Common Multiple of 2860,7122 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 2860,7122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2860,7122) = 2

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

GCF(2860,7122) x common factors =2 x 1 = 2

LCM(2860,7122) = ( 2860 × 7122 ) / 2

LCM(2860,7122) = 20368920 / 2

LCM(2860,7122) = 10184460


Lets's calculate GCF of 213,264

3 213, 264
71, 88

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10184460/3

Therefore the LCM of Fractions 2860/213,7122/264 is 3394820

Greatest Common Factor of 213,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,264 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 213,264 . The biggest common factor number is the GCF number.
So the greatest common factor 213,264 is 3.


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 2860/213, 7122/264

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 2860/213, 7122/264?

Answer: LCM of Numerators as per given numbers 2860/213, 7122/264 is

LCM of Numerators i.e. for 2860,7122 is 10184460

GCF of denominators i.e. for 213,264 is 3.

Thus, LCM of Fractions is 3394820.Finally, LCM of Fractions for 2860/213, 7122/264 is 3394820.