Least Common Multiple of 741/530, 6276/8912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/530, 6276/8912 quickly i.e. 775086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/530, 6276/8912 is 775086.

LCM(741/530, 6276/8912) = 775086

LCM of 741/530, 6276/8912

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 741/530,6276/8912

Given numbers are 741/530,6276/8912

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 741,6276

Least Common Multiple of Numerators i.e. LCM of 741,6276 is 1550172.

GCF of Denominators means GCF of 530,8912 as per the given fractions.

GCF of 530,8912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,6276

LCM of Fractions 741/530,6276/8912 is 775086

3 741, 6276
247, 2092

∴ So the LCM of the given numbers is 3 x 247 x 2092 = 1550172

Least Common Multiple of 741,6276 with GCF Formula

Least Common Multiple of 741,6276 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 741,6276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,6276) = 3

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

GCF(741,6276) x common factors =3 x 1 = 3

LCM(741,6276) = ( 741 × 6276 ) / 3

LCM(741,6276) = 4650516 / 3

LCM(741,6276) = 1550172


Lets's calculate GCF of 530,8912

2 530, 8912
265, 4456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1550172/2

Therefore the LCM of Fractions 741/530,6276/8912 is 775086

Greatest Common Factor of 530,8912 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,8912 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 8912

List of positive integer factors of 8912 that divides 8912 without a remainder.

1,2,4,8,16,557,1114,2228,4456,8912

Greatest Common Factor

We found the factors 530,8912 . The biggest common factor number is the GCF number.
So the greatest common factor 530,8912 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 741/530, 6276/8912

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 741/530, 6276/8912?

Answer: LCM of Numerators as per given numbers 741/530, 6276/8912 is

LCM of Numerators i.e. for 741,6276 is 1550172

GCF of denominators i.e. for 530,8912 is 2.

Thus, LCM of Fractions is 775086.Finally, LCM of Fractions for 741/530, 6276/8912 is 775086.