Least Common Multiple of 344/354, 3710/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/354, 3710/736 quickly i.e. 319060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/354, 3710/736 is 319060.

LCM(344/354, 3710/736) = 319060

LCM of 344/354, 3710/736

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 344/354,3710/736

Given numbers are 344/354,3710/736

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 344,3710

Least Common Multiple of Numerators i.e. LCM of 344,3710 is 638120.

GCF of Denominators means GCF of 354,736 as per the given fractions.

GCF of 354,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,3710

LCM of Fractions 344/354,3710/736 is 319060

2 344, 3710
172, 1855

∴ So the LCM of the given numbers is 2 x 172 x 1855 = 638120

Least Common Multiple of 344,3710 with GCF Formula

Least Common Multiple of 344,3710 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 344,3710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,3710) = 2

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

GCF(344,3710) x common factors =2 x 1 = 2

LCM(344,3710) = ( 344 × 3710 ) / 2

LCM(344,3710) = 1276240 / 2

LCM(344,3710) = 638120


Lets's calculate GCF of 354,736

2 354, 736
177, 368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 638120/2

Therefore the LCM of Fractions 344/354,3710/736 is 319060

Greatest Common Factor of 354,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,736 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 354,736 . The biggest common factor number is the GCF number.
So the greatest common factor 354,736 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 344/354, 3710/736

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 344/354, 3710/736?

Answer: LCM of Numerators as per given numbers 344/354, 3710/736 is

LCM of Numerators i.e. for 344,3710 is 638120

GCF of denominators i.e. for 354,736 is 2.

Thus, LCM of Fractions is 319060.Finally, LCM of Fractions for 344/354, 3710/736 is 319060.