Least Common Multiple of 354/759, 400/979, 548/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/759, 400/979, 548/975 quickly i.e. 9699600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/759, 400/979, 548/975 is 9699600.

LCM(354/759, 400/979, 548/975) = 9699600

LCM of 354/759, 400/979, 548/975

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 354/759,400/979,548/975

Given numbers are 354/759,400/979,548/975

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 354,400,548

Least Common Multiple of Numerators i.e. LCM of 354,400,548 is 9699600.

GCF of Denominators means GCF of 759,979,975 as per the given fractions.

GCF of 759,979,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,400,548

LCM of Fractions 354/759,400/979,548/975 is 9699600

2 354, 400, 548
2 177, 200, 274
177, 100, 137

∴ So the LCM of the given numbers is 2 x 2 x 177 x 100 x 137 = 9699600

Least Common Multiple of 354,400,548 with GCF Formula

Least Common Multiple of 354,400,548 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 354,400,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,400,548) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(354,400,548) x common factors =2 x 4 = 8

LCM(354,400,548) = ( 354 × 400 × 548 ) / 8

LCM(354,400,548) = 77596800 / 8

LCM(354,400,548) = 9699600


Lets's calculate GCF of 759,979,975

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9699600/1

Therefore the LCM of Fractions 354/759,400/979,548/975 is 9699600

Greatest Common Factor of 759,979,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,979,975 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 759,979,975 . The biggest common factor number is the GCF number.
So the greatest common factor 759,979,975 is 1.


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 354/759, 400/979, 548/975

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 354/759, 400/979, 548/975?

Answer: LCM of Numerators as per given numbers 354/759, 400/979, 548/975 is

LCM of Numerators i.e. for 354,400,548 is 9699600

GCF of denominators i.e. for 759,979,975 is 1.

Thus, LCM of Fractions is 9699600.Finally, LCM of Fractions for 354/759, 400/979, 548/975 is 9699600.