Least Common Multiple of 24/40, 214/76, 989/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/40, 214/76, 989/426 quickly i.e. 1269876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/40, 214/76, 989/426 is 1269876.

LCM(24/40, 214/76, 989/426) = 1269876

LCM of 24/40, 214/76, 989/426

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 24/40,214/76,989/426

Given numbers are 24/40,214/76,989/426

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 24,214,989

Least Common Multiple of Numerators i.e. LCM of 24,214,989 is 2539752.

GCF of Denominators means GCF of 40,76,426 as per the given fractions.

GCF of 40,76,426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,214,989

LCM of Fractions 24/40,214/76,989/426 is 1269876

2 24, 214, 989
12, 107, 989

∴ So the LCM of the given numbers is 2 x 12 x 107 x 989 = 2539752

Least Common Multiple of 24,214,989 with GCF Formula

Least Common Multiple of 24,214,989 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 24,214,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,214,989) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(24,214,989) x common factors =1 x 2 = 2

LCM(24,214,989) = ( 24 × 214 × 989 ) / 2

LCM(24,214,989) = 5079504 / 2

LCM(24,214,989) = 2539752


Lets's calculate GCF of 40,76,426

2 40, 76, 426
20, 38, 213

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2539752/2

Therefore the LCM of Fractions 24/40,214/76,989/426 is 1269876

Greatest Common Factor of 40,76,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,76,426 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 40,76,426 . The biggest common factor number is the GCF number.
So the greatest common factor 40,76,426 is 2.


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 24/40, 214/76, 989/426

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 24/40, 214/76, 989/426?

Answer: LCM of Numerators as per given numbers 24/40, 214/76, 989/426 is

LCM of Numerators i.e. for 24,214,989 is 2539752

GCF of denominators i.e. for 40,76,426 is 2.

Thus, LCM of Fractions is 1269876.Finally, LCM of Fractions for 24/40, 214/76, 989/426 is 1269876.