Least Common Multiple of 546/601, 1157/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/601, 1157/787 quickly i.e. 48594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/601, 1157/787 is 48594.

LCM(546/601, 1157/787) = 48594

LCM of 546/601, 1157/787

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 546/601,1157/787

Given numbers are 546/601,1157/787

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 546,1157

Least Common Multiple of Numerators i.e. LCM of 546,1157 is 48594.

GCF of Denominators means GCF of 601,787 as per the given fractions.

GCF of 601,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,1157

LCM of Fractions 546/601,1157/787 is 48594

13 546, 1157
42, 89

∴ So the LCM of the given numbers is 13 x 42 x 89 = 48594

Least Common Multiple of 546,1157 with GCF Formula

Least Common Multiple of 546,1157 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 546,1157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,1157) = 13

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

GCF(546,1157) x common factors =13 x 1 = 13

LCM(546,1157) = ( 546 × 1157 ) / 13

LCM(546,1157) = 631722 / 13

LCM(546,1157) = 48594


Lets's calculate GCF of 601,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48594/1

Therefore the LCM of Fractions 546/601,1157/787 is 48594

Greatest Common Factor of 601,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,787 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 601,787 . The biggest common factor number is the GCF number.
So the greatest common factor 601,787 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 546/601, 1157/787

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 546/601, 1157/787?

Answer: LCM of Numerators as per given numbers 546/601, 1157/787 is

LCM of Numerators i.e. for 546,1157 is 48594

GCF of denominators i.e. for 601,787 is 1.

Thus, LCM of Fractions is 48594.Finally, LCM of Fractions for 546/601, 1157/787 is 48594.