Least Common Multiple of 24/42, 48/55, 726/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/42, 48/55, 726/977 quickly i.e. 5808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/42, 48/55, 726/977 is 5808.

LCM(24/42, 48/55, 726/977) = 5808

LCM of 24/42, 48/55, 726/977

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 24/42,48/55,726/977

Given numbers are 24/42,48/55,726/977

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 24,48,726

Least Common Multiple of Numerators i.e. LCM of 24,48,726 is 5808.

GCF of Denominators means GCF of 42,55,977 as per the given fractions.

GCF of 42,55,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,48,726

LCM of Fractions 24/42,48/55,726/977 is 5808

2 24, 48, 726
2 12, 24, 363
2 6, 12, 363
3 3, 6, 363
1, 2, 121

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 2 x 121 = 5808

Least Common Multiple of 24,48,726 with GCF Formula

Least Common Multiple of 24,48,726 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 24,48,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,48,726) = 6

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

GCF(24,48,726) x common factors =6 x 24 = 144

LCM(24,48,726) = ( 24 × 48 × 726 ) / 144

LCM(24,48,726) = 836352 / 144

LCM(24,48,726) = 5808


Lets's calculate GCF of 42,55,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5808/1

Therefore the LCM of Fractions 24/42,48/55,726/977 is 5808

Greatest Common Factor of 42,55,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,55,977 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 42,55,977 . The biggest common factor number is the GCF number.
So the greatest common factor 42,55,977 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 24/42, 48/55, 726/977

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 24/42, 48/55, 726/977?

Answer: LCM of Numerators as per given numbers 24/42, 48/55, 726/977 is

LCM of Numerators i.e. for 24,48,726 is 5808

GCF of denominators i.e. for 42,55,977 is 1.

Thus, LCM of Fractions is 5808.Finally, LCM of Fractions for 24/42, 48/55, 726/977 is 5808.