Least Common Multiple of 24/826, 60/310, 304/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/826, 60/310, 304/926 quickly i.e. 2280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/826, 60/310, 304/926 is 2280.

LCM(24/826, 60/310, 304/926) = 2280

LCM of 24/826, 60/310, 304/926

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 24/826,60/310,304/926

Given numbers are 24/826,60/310,304/926

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 24,60,304

Least Common Multiple of Numerators i.e. LCM of 24,60,304 is 4560.

GCF of Denominators means GCF of 826,310,926 as per the given fractions.

GCF of 826,310,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,60,304

LCM of Fractions 24/826,60/310,304/926 is 2280

2 24, 60, 304
2 12, 30, 152
2 6, 15, 76
3 3, 15, 38
1, 5, 38

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 5 x 38 = 4560

Least Common Multiple of 24,60,304 with GCF Formula

Least Common Multiple of 24,60,304 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 24,60,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,60,304) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(24,60,304) x common factors =4 x 24 = 96

LCM(24,60,304) = ( 24 × 60 × 304 ) / 96

LCM(24,60,304) = 437760 / 96

LCM(24,60,304) = 4560


Lets's calculate GCF of 826,310,926

2 826, 310, 926
413, 155, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4560/2

Therefore the LCM of Fractions 24/826,60/310,304/926 is 2280

Greatest Common Factor of 826,310,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,310,926 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 826,310,926 . The biggest common factor number is the GCF number.
So the greatest common factor 826,310,926 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 24/826, 60/310, 304/926

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 24/826, 60/310, 304/926?

Answer: LCM of Numerators as per given numbers 24/826, 60/310, 304/926 is

LCM of Numerators i.e. for 24,60,304 is 4560

GCF of denominators i.e. for 826,310,926 is 2.

Thus, LCM of Fractions is 2280.Finally, LCM of Fractions for 24/826, 60/310, 304/926 is 2280.