Least Common Multiple of 430/96, 972/8997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/96, 972/8997 quickly i.e. 69660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/96, 972/8997 is 69660.

LCM(430/96, 972/8997) = 69660

LCM of 430/96, 972/8997

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 430/96,972/8997

Given numbers are 430/96,972/8997

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 430,972

Least Common Multiple of Numerators i.e. LCM of 430,972 is 208980.

GCF of Denominators means GCF of 96,8997 as per the given fractions.

GCF of 96,8997 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,972

LCM of Fractions 430/96,972/8997 is 69660

2 430, 972
215, 486

∴ So the LCM of the given numbers is 2 x 215 x 486 = 208980

Least Common Multiple of 430,972 with GCF Formula

Least Common Multiple of 430,972 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 430,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,972) = 2

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

GCF(430,972) x common factors =2 x 1 = 2

LCM(430,972) = ( 430 × 972 ) / 2

LCM(430,972) = 417960 / 2

LCM(430,972) = 208980


Lets's calculate GCF of 96,8997

3 96, 8997
32, 2999

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208980/3

Therefore the LCM of Fractions 430/96,972/8997 is 69660

Greatest Common Factor of 96,8997 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,8997 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 8997

List of positive integer factors of 8997 that divides 8997 without a remainder.

1,3,2999,8997

Greatest Common Factor

We found the factors 96,8997 . The biggest common factor number is the GCF number.
So the greatest common factor 96,8997 is 3.


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 430/96, 972/8997

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 430/96, 972/8997?

Answer: LCM of Numerators as per given numbers 430/96, 972/8997 is

LCM of Numerators i.e. for 430,972 is 208980

GCF of denominators i.e. for 96,8997 is 3.

Thus, LCM of Fractions is 69660.Finally, LCM of Fractions for 430/96, 972/8997 is 69660.