Least Common Multiple of 56/304, 729/728, 952/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/304, 729/728, 952/923 quickly i.e. 694008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/304, 729/728, 952/923 is 694008.

LCM(56/304, 729/728, 952/923) = 694008

LCM of 56/304, 729/728, 952/923

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 56/304,729/728,952/923

Given numbers are 56/304,729/728,952/923

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 56,729,952

Least Common Multiple of Numerators i.e. LCM of 56,729,952 is 694008.

GCF of Denominators means GCF of 304,728,923 as per the given fractions.

GCF of 304,728,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,729,952

LCM of Fractions 56/304,729/728,952/923 is 694008

2 56, 729, 952
2 28, 729, 476
2 14, 729, 238
7 7, 729, 119
1, 729, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 729 x 17 = 694008

Least Common Multiple of 56,729,952 with GCF Formula

Least Common Multiple of 56,729,952 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 56,729,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,729,952) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(56,729,952) x common factors =1 x 56 = 56

LCM(56,729,952) = ( 56 × 729 × 952 ) / 56

LCM(56,729,952) = 38864448 / 56

LCM(56,729,952) = 694008


Lets's calculate GCF of 304,728,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 694008/1

Therefore the LCM of Fractions 56/304,729/728,952/923 is 694008

Greatest Common Factor of 304,728,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,728,923 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 304,728,923 . The biggest common factor number is the GCF number.
So the greatest common factor 304,728,923 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 56/304, 729/728, 952/923

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 56/304, 729/728, 952/923?

Answer: LCM of Numerators as per given numbers 56/304, 729/728, 952/923 is

LCM of Numerators i.e. for 56,729,952 is 694008

GCF of denominators i.e. for 304,728,923 is 1.

Thus, LCM of Fractions is 694008.Finally, LCM of Fractions for 56/304, 729/728, 952/923 is 694008.