Least Common Multiple of 974/305, 288/685, 699/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/305, 288/685, 699/972 quickly i.e. 32679648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/305, 288/685, 699/972 is 32679648.

LCM(974/305, 288/685, 699/972) = 32679648

LCM of 974/305, 288/685, 699/972

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 974/305,288/685,699/972

Given numbers are 974/305,288/685,699/972

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 974,288,699

Least Common Multiple of Numerators i.e. LCM of 974,288,699 is 32679648.

GCF of Denominators means GCF of 305,685,972 as per the given fractions.

GCF of 305,685,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,288,699

LCM of Fractions 974/305,288/685,699/972 is 32679648

2 974, 288, 699
3 487, 144, 699
487, 48, 233

∴ So the LCM of the given numbers is 2 x 3 x 487 x 48 x 233 = 32679648

Least Common Multiple of 974,288,699 with GCF Formula

Least Common Multiple of 974,288,699 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 974,288,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,288,699) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(974,288,699) x common factors =1 x 6 = 6

LCM(974,288,699) = ( 974 × 288 × 699 ) / 6

LCM(974,288,699) = 196077888 / 6

LCM(974,288,699) = 32679648


Lets's calculate GCF of 305,685,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32679648/1

Therefore the LCM of Fractions 974/305,288/685,699/972 is 32679648

Greatest Common Factor of 305,685,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,685,972 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 305,685,972 . The biggest common factor number is the GCF number.
So the greatest common factor 305,685,972 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 974/305, 288/685, 699/972

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 974/305, 288/685, 699/972?

Answer: LCM of Numerators as per given numbers 974/305, 288/685, 699/972 is

LCM of Numerators i.e. for 974,288,699 is 32679648

GCF of denominators i.e. for 305,685,972 is 1.

Thus, LCM of Fractions is 32679648.Finally, LCM of Fractions for 974/305, 288/685, 699/972 is 32679648.