Least Common Multiple of 909/344, 4372/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 909/344, 4372/702 quickly i.e. 1987074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 909/344, 4372/702 is 1987074.

LCM(909/344, 4372/702) = 1987074

LCM of 909/344, 4372/702

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 909/344,4372/702

Given numbers are 909/344,4372/702

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 909,4372

Least Common Multiple of Numerators i.e. LCM of 909,4372 is 3974148.

GCF of Denominators means GCF of 344,702 as per the given fractions.

GCF of 344,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 909,4372

LCM of Fractions 909/344,4372/702 is 1987074

Given numbers has no common factors except 1. So, there LCM is their product i.e 3974148

Least Common Multiple of 909,4372 with GCF Formula

Least Common Multiple of 909,4372 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 909,4372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,4372) = 1

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

GCF(909,4372) x common factors =1 x 1 = 1

LCM(909,4372) = ( 909 × 4372 ) / 1

LCM(909,4372) = 3974148 / 1

LCM(909,4372) = 3974148


Lets's calculate GCF of 344,702

2 344, 702
172, 351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3974148/2

Therefore the LCM of Fractions 909/344,4372/702 is 1987074

Greatest Common Factor of 344,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,702 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 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 344,702 . The biggest common factor number is the GCF number.
So the greatest common factor 344,702 is 2.


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Frequently Asked Questions on Fractional LCM of 909/344, 4372/702

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 909/344, 4372/702?

Answer: LCM of Numerators as per given numbers 909/344, 4372/702 is

LCM of Numerators i.e. for 909,4372 is 3974148

GCF of denominators i.e. for 344,702 is 2.

Thus, LCM of Fractions is 1987074.Finally, LCM of Fractions for 909/344, 4372/702 is 1987074.