Least Common Multiple of 301/545, 597/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/545, 597/698 quickly i.e. 179697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/545, 597/698 is 179697.

LCM(301/545, 597/698) = 179697

LCM of 301/545, 597/698

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 301/545,597/698

Given numbers are 301/545,597/698

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 301,597

Least Common Multiple of Numerators i.e. LCM of 301,597 is 179697.

GCF of Denominators means GCF of 545,698 as per the given fractions.

GCF of 545,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,597

LCM of Fractions 301/545,597/698 is 179697

Given numbers has no common factors except 1. So, there LCM is their product i.e 179697

Least Common Multiple of 301,597 with GCF Formula

Least Common Multiple of 301,597 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 301,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,597) = 1

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

GCF(301,597) x common factors =1 x 1 = 1

LCM(301,597) = ( 301 × 597 ) / 1

LCM(301,597) = 179697 / 1

LCM(301,597) = 179697


Lets's calculate GCF of 545,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179697/1

Therefore the LCM of Fractions 301/545,597/698 is 179697

Greatest Common Factor of 545,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,698 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 545,698 . The biggest common factor number is the GCF number.
So the greatest common factor 545,698 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 301/545, 597/698

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 301/545, 597/698?

Answer: LCM of Numerators as per given numbers 301/545, 597/698 is

LCM of Numerators i.e. for 301,597 is 179697

GCF of denominators i.e. for 545,698 is 1.

Thus, LCM of Fractions is 179697.Finally, LCM of Fractions for 301/545, 597/698 is 179697.