Least Common Multiple of 753/344, 2422/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/344, 2422/154 quickly i.e. 911883 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/344, 2422/154 is 911883.

LCM(753/344, 2422/154) = 911883

LCM of 753/344, 2422/154

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 753/344,2422/154

Given numbers are 753/344,2422/154

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 753,2422

Least Common Multiple of Numerators i.e. LCM of 753,2422 is 1823766.

GCF of Denominators means GCF of 344,154 as per the given fractions.

GCF of 344,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,2422

LCM of Fractions 753/344,2422/154 is 911883

Given numbers has no common factors except 1. So, there LCM is their product i.e 1823766

Least Common Multiple of 753,2422 with GCF Formula

Least Common Multiple of 753,2422 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 753,2422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,2422) = 1

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

GCF(753,2422) x common factors =1 x 1 = 1

LCM(753,2422) = ( 753 × 2422 ) / 1

LCM(753,2422) = 1823766 / 1

LCM(753,2422) = 1823766


Lets's calculate GCF of 344,154

2 344, 154
172, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1823766/2

Therefore the LCM of Fractions 753/344,2422/154 is 911883

Greatest Common Factor of 344,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,154 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

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 344,154 . The biggest common factor number is the GCF number.
So the greatest common factor 344,154 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 753/344, 2422/154

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 753/344, 2422/154?

Answer: LCM of Numerators as per given numbers 753/344, 2422/154 is

LCM of Numerators i.e. for 753,2422 is 1823766

GCF of denominators i.e. for 344,154 is 2.

Thus, LCM of Fractions is 911883.Finally, LCM of Fractions for 753/344, 2422/154 is 911883.