Least Common Multiple of 578/945, 4630/6957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/945, 4630/6957 quickly i.e. 1338070/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/945, 4630/6957 is 1338070/9.

LCM(578/945, 4630/6957) = 1338070/9

LCM of 578/945, 4630/6957

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 578/945,4630/6957

Given numbers are 578/945,4630/6957

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 578,4630

Least Common Multiple of Numerators i.e. LCM of 578,4630 is 1338070.

GCF of Denominators means GCF of 945,6957 as per the given fractions.

GCF of 945,6957 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,4630

LCM of Fractions 578/945,4630/6957 is 1338070/9

2 578, 4630
289, 2315

∴ So the LCM of the given numbers is 2 x 289 x 2315 = 1338070

Least Common Multiple of 578,4630 with GCF Formula

Least Common Multiple of 578,4630 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 578,4630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,4630) = 2

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

GCF(578,4630) x common factors =2 x 1 = 2

LCM(578,4630) = ( 578 × 4630 ) / 2

LCM(578,4630) = 2676140 / 2

LCM(578,4630) = 1338070


Lets's calculate GCF of 945,6957

3 945, 6957
3 315, 2319
105, 773

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1338070/9

Therefore the LCM of Fractions 578/945,4630/6957 is 1338070/9

Greatest Common Factor of 945,6957 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,6957 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 6957

List of positive integer factors of 6957 that divides 6957 without a remainder.

1,3,9,773,2319,6957

Greatest Common Factor

We found the factors 945,6957 . The biggest common factor number is the GCF number.
So the greatest common factor 945,6957 is 9.


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 578/945, 4630/6957

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 578/945, 4630/6957?

Answer: LCM of Numerators as per given numbers 578/945, 4630/6957 is

LCM of Numerators i.e. for 578,4630 is 1338070

GCF of denominators i.e. for 945,6957 is 9.

Thus, LCM of Fractions is 1338070/9.Finally, LCM of Fractions for 578/945, 4630/6957 is 1338070/9.