Least Common Multiple of 972/78, 474/38, 663/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/78, 474/38, 663/469 quickly i.e. 16970148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/78, 474/38, 663/469 is 16970148.

LCM(972/78, 474/38, 663/469) = 16970148

LCM of 972/78, 474/38, 663/469

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 972/78,474/38,663/469

Given numbers are 972/78,474/38,663/469

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 972,474,663

Least Common Multiple of Numerators i.e. LCM of 972,474,663 is 16970148.

GCF of Denominators means GCF of 78,38,469 as per the given fractions.

GCF of 78,38,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,474,663

LCM of Fractions 972/78,474/38,663/469 is 16970148

2 972, 474, 663
3 486, 237, 663
162, 79, 221

∴ So the LCM of the given numbers is 2 x 3 x 162 x 79 x 221 = 16970148

Least Common Multiple of 972,474,663 with GCF Formula

Least Common Multiple of 972,474,663 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 972,474,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,474,663) = 3

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

GCF(972,474,663) x common factors =3 x 6 = 18

LCM(972,474,663) = ( 972 × 474 × 663 ) / 18

LCM(972,474,663) = 305462664 / 18

LCM(972,474,663) = 16970148


Lets's calculate GCF of 78,38,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16970148/1

Therefore the LCM of Fractions 972/78,474/38,663/469 is 16970148

Greatest Common Factor of 78,38,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,38,469 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 78,38,469 . The biggest common factor number is the GCF number.
So the greatest common factor 78,38,469 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 972/78, 474/38, 663/469

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 972/78, 474/38, 663/469?

Answer: LCM of Numerators as per given numbers 972/78, 474/38, 663/469 is

LCM of Numerators i.e. for 972,474,663 is 16970148

GCF of denominators i.e. for 78,38,469 is 1.

Thus, LCM of Fractions is 16970148.Finally, LCM of Fractions for 972/78, 474/38, 663/469 is 16970148.