Least Common Multiple of 24/51, 68/12, 75/70, 71/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/51, 68/12, 75/70, 71/469 quickly i.e. 724200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/51, 68/12, 75/70, 71/469 is 724200.

LCM(24/51, 68/12, 75/70, 71/469) = 724200

LCM of 24/51, 68/12, 75/70, 71/469

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 24/51,68/12,75/70,71/469

Given numbers are 24/51,68/12,75/70,71/469

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 24,68,75,71

Least Common Multiple of Numerators i.e. LCM of 24,68,75,71 is 724200.

GCF of Denominators means GCF of 51,12,70,469 as per the given fractions.

GCF of 51,12,70,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,68,75,71

LCM of Fractions 24/51,68/12,75/70,71/469 is 724200

2 24, 68, 75, 71
2 12, 34, 75, 71
3 6, 17, 75, 71
2, 17, 25, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 17 x 25 x 71 = 724200

Least Common Multiple of 24,68,75,71 with GCF Formula

Least Common Multiple of 24,68,75,71 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 24,68,75,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,68,75,71) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(24,68,75,71) x common factors =1 x 12 = 12

LCM(24,68,75,71) = ( 24 × 68 × 75 × 71 ) / 12

LCM(24,68,75,71) = 8690400 / 12

LCM(24,68,75,71) = 724200


Lets's calculate GCF of 51,12,70,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 724200/1

Therefore the LCM of Fractions 24/51,68/12,75/70,71/469 is 724200

Greatest Common Factor of 51,12,70,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,12,70,469 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

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 51,12,70,469 . The biggest common factor number is the GCF number.
So the greatest common factor 51,12,70,469 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 24/51, 68/12, 75/70, 71/469

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 24/51, 68/12, 75/70, 71/469?

Answer: LCM of Numerators as per given numbers 24/51, 68/12, 75/70, 71/469 is

LCM of Numerators i.e. for 24,68,75,71 is 724200

GCF of denominators i.e. for 51,12,70,469 is 1.

Thus, LCM of Fractions is 724200.Finally, LCM of Fractions for 24/51, 68/12, 75/70, 71/469 is 724200.