Least Common Multiple of 546/617, 975/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/617, 975/661 quickly i.e. 13650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/617, 975/661 is 13650.

LCM(546/617, 975/661) = 13650

LCM of 546/617, 975/661

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 546/617,975/661

Given numbers are 546/617,975/661

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 546,975

Least Common Multiple of Numerators i.e. LCM of 546,975 is 13650.

GCF of Denominators means GCF of 617,661 as per the given fractions.

GCF of 617,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,975

LCM of Fractions 546/617,975/661 is 13650

3 546, 975
13 182, 325
14, 25

∴ So the LCM of the given numbers is 3 x 13 x 14 x 25 = 13650

Least Common Multiple of 546,975 with GCF Formula

Least Common Multiple of 546,975 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 546,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,975) = 39

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

GCF(546,975) x common factors =39 x 1 = 39

LCM(546,975) = ( 546 × 975 ) / 39

LCM(546,975) = 532350 / 39

LCM(546,975) = 13650


Lets's calculate GCF of 617,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13650/1

Therefore the LCM of Fractions 546/617,975/661 is 13650

Greatest Common Factor of 617,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,661 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 617,661 . The biggest common factor number is the GCF number.
So the greatest common factor 617,661 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 546/617, 975/661

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 546/617, 975/661?

Answer: LCM of Numerators as per given numbers 546/617, 975/661 is

LCM of Numerators i.e. for 546,975 is 13650

GCF of denominators i.e. for 617,661 is 1.

Thus, LCM of Fractions is 13650.Finally, LCM of Fractions for 546/617, 975/661 is 13650.