Least Common Multiple of 737/342, 457/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 737/342, 457/661 quickly i.e. 336809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 737/342, 457/661 is 336809.

LCM(737/342, 457/661) = 336809

LCM of 737/342, 457/661

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 737/342,457/661

Given numbers are 737/342,457/661

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 737,457

Least Common Multiple of Numerators i.e. LCM of 737,457 is 336809.

GCF of Denominators means GCF of 342,661 as per the given fractions.

GCF of 342,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 737,457

LCM of Fractions 737/342,457/661 is 336809

Given numbers has no common factors except 1. So, there LCM is their product i.e 336809

Least Common Multiple of 737,457 with GCF Formula

Least Common Multiple of 737,457 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 737,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,457) = 1

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

GCF(737,457) x common factors =1 x 1 = 1

LCM(737,457) = ( 737 × 457 ) / 1

LCM(737,457) = 336809 / 1

LCM(737,457) = 336809


Lets's calculate GCF of 342,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336809/1

Therefore the LCM of Fractions 737/342,457/661 is 336809

Greatest Common Factor of 342,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,661 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

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 342,661 . The biggest common factor number is the GCF number.
So the greatest common factor 342,661 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 737/342, 457/661

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 737/342, 457/661?

Answer: LCM of Numerators as per given numbers 737/342, 457/661 is

LCM of Numerators i.e. for 737,457 is 336809

GCF of denominators i.e. for 342,661 is 1.

Thus, LCM of Fractions is 336809.Finally, LCM of Fractions for 737/342, 457/661 is 336809.