Least Common Multiple of 2730/712, 2211/7376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2730/712, 2211/7376 quickly i.e. 2012010/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2730/712, 2211/7376 is 2012010/8.

LCM(2730/712, 2211/7376) = 2012010/8

LCM of 2730/712, 2211/7376

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 2730/712,2211/7376

Given numbers are 2730/712,2211/7376

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 2730,2211

Least Common Multiple of Numerators i.e. LCM of 2730,2211 is 2012010.

GCF of Denominators means GCF of 712,7376 as per the given fractions.

GCF of 712,7376 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2730,2211

LCM of Fractions 2730/712,2211/7376 is 2012010/8

3 2730, 2211
910, 737

∴ So the LCM of the given numbers is 3 x 910 x 737 = 2012010

Least Common Multiple of 2730,2211 with GCF Formula

Least Common Multiple of 2730,2211 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 2730,2211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2730,2211) = 3

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

GCF(2730,2211) x common factors =3 x 1 = 3

LCM(2730,2211) = ( 2730 × 2211 ) / 3

LCM(2730,2211) = 6036030 / 3

LCM(2730,2211) = 2012010


Lets's calculate GCF of 712,7376

2 712, 7376
2 356, 3688
2 178, 1844
89, 922

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2012010/8

Therefore the LCM of Fractions 2730/712,2211/7376 is 2012010/8

Greatest Common Factor of 712,7376 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,7376 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1,2,4,8,16,461,922,1844,3688,7376

Greatest Common Factor

We found the factors 712,7376 . The biggest common factor number is the GCF number.
So the greatest common factor 712,7376 is 8.


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 2730/712, 2211/7376

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 2730/712, 2211/7376?

Answer: LCM of Numerators as per given numbers 2730/712, 2211/7376 is

LCM of Numerators i.e. for 2730,2211 is 2012010

GCF of denominators i.e. for 712,7376 is 8.

Thus, LCM of Fractions is 2012010/8.Finally, LCM of Fractions for 2730/712, 2211/7376 is 2012010/8.