Least Common Multiple of 1/24, 44/308, 51/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/24, 44/308, 51/154 quickly i.e. 1122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/24, 44/308, 51/154 is 1122.

LCM(1/24, 44/308, 51/154) = 1122

LCM of 1/24, 44/308, 51/154

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 1/24,44/308,51/154

Given numbers are 1/24,44/308,51/154

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 1,44,51

Least Common Multiple of Numerators i.e. LCM of 1,44,51 is 2244.

GCF of Denominators means GCF of 24,308,154 as per the given fractions.

GCF of 24,308,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,44,51

LCM of Fractions 1/24,44/308,51/154 is 1122

Given numbers has no common factors except 1. So, there LCM is their product i.e 2244

Least Common Multiple of 1,44,51 with GCF Formula

Least Common Multiple of 1,44,51 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 1,44,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,44,51) = 1

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

GCF(1,44,51) x common factors =1 x 1 = 1

LCM(1,44,51) = ( 1 × 44 × 51 ) / 1

LCM(1,44,51) = 2244 / 1

LCM(1,44,51) = 2244


Lets's calculate GCF of 24,308,154

2 24, 308, 154
12, 154, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2244/2

Therefore the LCM of Fractions 1/24,44/308,51/154 is 1122

Greatest Common Factor of 24,308,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,308,154 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 24,308,154 . The biggest common factor number is the GCF number.
So the greatest common factor 24,308,154 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 1/24, 44/308, 51/154

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 1/24, 44/308, 51/154?

Answer: LCM of Numerators as per given numbers 1/24, 44/308, 51/154 is

LCM of Numerators i.e. for 1,44,51 is 2244

GCF of denominators i.e. for 24,308,154 is 2.

Thus, LCM of Fractions is 1122.Finally, LCM of Fractions for 1/24, 44/308, 51/154 is 1122.