Least Common Multiple of 972/35, 284/2997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/35, 284/2997 quickly i.e. 69012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/35, 284/2997 is 69012.

LCM(972/35, 284/2997) = 69012

LCM of 972/35, 284/2997

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 972/35,284/2997

Given numbers are 972/35,284/2997

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 972,284

Least Common Multiple of Numerators i.e. LCM of 972,284 is 69012.

GCF of Denominators means GCF of 35,2997 as per the given fractions.

GCF of 35,2997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,284

LCM of Fractions 972/35,284/2997 is 69012

2 972, 284
2 486, 142
243, 71

∴ So the LCM of the given numbers is 2 x 2 x 243 x 71 = 69012

Least Common Multiple of 972,284 with GCF Formula

Least Common Multiple of 972,284 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 972,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,284) = 4

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

GCF(972,284) x common factors =4 x 1 = 4

LCM(972,284) = ( 972 × 284 ) / 4

LCM(972,284) = 276048 / 4

LCM(972,284) = 69012


Lets's calculate GCF of 35,2997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69012/1

Therefore the LCM of Fractions 972/35,284/2997 is 69012

Greatest Common Factor of 35,2997 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,2997 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 2997

List of positive integer factors of 2997 that divides 2997 without a remainder.

1,3,9,27,37,81,111,333,999,2997

Greatest Common Factor

We found the factors 35,2997 . The biggest common factor number is the GCF number.
So the greatest common factor 35,2997 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 972/35, 284/2997

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 972/35, 284/2997?

Answer: LCM of Numerators as per given numbers 972/35, 284/2997 is

LCM of Numerators i.e. for 972,284 is 69012

GCF of denominators i.e. for 35,2997 is 1.

Thus, LCM of Fractions is 69012.Finally, LCM of Fractions for 972/35, 284/2997 is 69012.