Least Common Multiple of 741/122, 4740/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/122, 4740/972 quickly i.e. 585390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/122, 4740/972 is 585390.

LCM(741/122, 4740/972) = 585390

LCM of 741/122, 4740/972

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 741/122,4740/972

Given numbers are 741/122,4740/972

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 741,4740

Least Common Multiple of Numerators i.e. LCM of 741,4740 is 1170780.

GCF of Denominators means GCF of 122,972 as per the given fractions.

GCF of 122,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,4740

LCM of Fractions 741/122,4740/972 is 585390

3 741, 4740
247, 1580

∴ So the LCM of the given numbers is 3 x 247 x 1580 = 1170780

Least Common Multiple of 741,4740 with GCF Formula

Least Common Multiple of 741,4740 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 741,4740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,4740) = 3

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

GCF(741,4740) x common factors =3 x 1 = 3

LCM(741,4740) = ( 741 × 4740 ) / 3

LCM(741,4740) = 3512340 / 3

LCM(741,4740) = 1170780


Lets's calculate GCF of 122,972

2 122, 972
61, 486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1170780/2

Therefore the LCM of Fractions 741/122,4740/972 is 585390

Greatest Common Factor of 122,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,972 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 122,972 . The biggest common factor number is the GCF number.
So the greatest common factor 122,972 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 741/122, 4740/972

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 741/122, 4740/972?

Answer: LCM of Numerators as per given numbers 741/122, 4740/972 is

LCM of Numerators i.e. for 741,4740 is 1170780

GCF of denominators i.e. for 122,972 is 2.

Thus, LCM of Fractions is 585390.Finally, LCM of Fractions for 741/122, 4740/972 is 585390.