Least Common Multiple of 392/329, 950/553, 324/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 392/329, 950/553, 324/956 quickly i.e. 15082200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/329, 950/553, 324/956 is 15082200.

LCM(392/329, 950/553, 324/956) = 15082200

LCM of 392/329, 950/553, 324/956

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 392/329,950/553,324/956

Given numbers are 392/329,950/553,324/956

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 392,950,324

Least Common Multiple of Numerators i.e. LCM of 392,950,324 is 15082200.

GCF of Denominators means GCF of 329,553,956 as per the given fractions.

GCF of 329,553,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,950,324

LCM of Fractions 392/329,950/553,324/956 is 15082200

2 392, 950, 324
2 196, 475, 162
98, 475, 81

∴ So the LCM of the given numbers is 2 x 2 x 98 x 475 x 81 = 15082200

Least Common Multiple of 392,950,324 with GCF Formula

Least Common Multiple of 392,950,324 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 392,950,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,950,324) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(392,950,324) x common factors =2 x 4 = 8

LCM(392,950,324) = ( 392 × 950 × 324 ) / 8

LCM(392,950,324) = 120657600 / 8

LCM(392,950,324) = 15082200


Lets's calculate GCF of 329,553,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15082200/1

Therefore the LCM of Fractions 392/329,950/553,324/956 is 15082200

Greatest Common Factor of 329,553,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,553,956 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 329,553,956 . The biggest common factor number is the GCF number.
So the greatest common factor 329,553,956 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 392/329, 950/553, 324/956

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 392/329, 950/553, 324/956?

Answer: LCM of Numerators as per given numbers 392/329, 950/553, 324/956 is

LCM of Numerators i.e. for 392,950,324 is 15082200

GCF of denominators i.e. for 329,553,956 is 1.

Thus, LCM of Fractions is 15082200.Finally, LCM of Fractions for 392/329, 950/553, 324/956 is 15082200.