Least Common Multiple of 369/163, 701/434, 976/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/163, 701/434, 976/724 quickly i.e. 252460944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/163, 701/434, 976/724 is 252460944.

LCM(369/163, 701/434, 976/724) = 252460944

LCM of 369/163, 701/434, 976/724

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 369/163,701/434,976/724

Given numbers are 369/163,701/434,976/724

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 369,701,976

Least Common Multiple of Numerators i.e. LCM of 369,701,976 is 252460944.

GCF of Denominators means GCF of 163,434,724 as per the given fractions.

GCF of 163,434,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,701,976

LCM of Fractions 369/163,701/434,976/724 is 252460944

Given numbers has no common factors except 1. So, there LCM is their product i.e 252460944

Least Common Multiple of 369,701,976 with GCF Formula

Least Common Multiple of 369,701,976 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 369,701,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,701,976) = 1

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

GCF(369,701,976) x common factors =1 x 1 = 1

LCM(369,701,976) = ( 369 × 701 × 976 ) / 1

LCM(369,701,976) = 252460944 / 1

LCM(369,701,976) = 252460944


Lets's calculate GCF of 163,434,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252460944/1

Therefore the LCM of Fractions 369/163,701/434,976/724 is 252460944

Greatest Common Factor of 163,434,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,434,724 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 163,434,724 . The biggest common factor number is the GCF number.
So the greatest common factor 163,434,724 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 369/163, 701/434, 976/724

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 369/163, 701/434, 976/724?

Answer: LCM of Numerators as per given numbers 369/163, 701/434, 976/724 is

LCM of Numerators i.e. for 369,701,976 is 252460944

GCF of denominators i.e. for 163,434,724 is 1.

Thus, LCM of Fractions is 252460944.Finally, LCM of Fractions for 369/163, 701/434, 976/724 is 252460944.