Least Common Multiple of 2990/771, 2178/6096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2990/771, 2178/6096 quickly i.e. 1085370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2990/771, 2178/6096 is 1085370.

LCM(2990/771, 2178/6096) = 1085370

LCM of 2990/771, 2178/6096

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 2990/771,2178/6096

Given numbers are 2990/771,2178/6096

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 2990,2178

Least Common Multiple of Numerators i.e. LCM of 2990,2178 is 3256110.

GCF of Denominators means GCF of 771,6096 as per the given fractions.

GCF of 771,6096 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2990,2178

LCM of Fractions 2990/771,2178/6096 is 1085370

2 2990, 2178
1495, 1089

∴ So the LCM of the given numbers is 2 x 1495 x 1089 = 3256110

Least Common Multiple of 2990,2178 with GCF Formula

Least Common Multiple of 2990,2178 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 2990,2178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2990,2178) = 2

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

GCF(2990,2178) x common factors =2 x 1 = 2

LCM(2990,2178) = ( 2990 × 2178 ) / 2

LCM(2990,2178) = 6512220 / 2

LCM(2990,2178) = 3256110


Lets's calculate GCF of 771,6096

3 771, 6096
257, 2032

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3256110/3

Therefore the LCM of Fractions 2990/771,2178/6096 is 1085370

Greatest Common Factor of 771,6096 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,6096 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1,2,3,4,6,8,12,16,24,48,127,254,381,508,762,1016,1524,2032,3048,6096

Greatest Common Factor

We found the factors 771,6096 . The biggest common factor number is the GCF number.
So the greatest common factor 771,6096 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 2990/771, 2178/6096

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 2990/771, 2178/6096?

Answer: LCM of Numerators as per given numbers 2990/771, 2178/6096 is

LCM of Numerators i.e. for 2990,2178 is 3256110

GCF of denominators i.e. for 771,6096 is 3.

Thus, LCM of Fractions is 1085370.Finally, LCM of Fractions for 2990/771, 2178/6096 is 1085370.