Least Common Multiple of 351/743, 1308/3626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/743, 1308/3626 quickly i.e. 153036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/743, 1308/3626 is 153036.

LCM(351/743, 1308/3626) = 153036

LCM of 351/743, 1308/3626

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 351/743,1308/3626

Given numbers are 351/743,1308/3626

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 351,1308

Least Common Multiple of Numerators i.e. LCM of 351,1308 is 153036.

GCF of Denominators means GCF of 743,3626 as per the given fractions.

GCF of 743,3626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,1308

LCM of Fractions 351/743,1308/3626 is 153036

3 351, 1308
117, 436

∴ So the LCM of the given numbers is 3 x 117 x 436 = 153036

Least Common Multiple of 351,1308 with GCF Formula

Least Common Multiple of 351,1308 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 351,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,1308) = 3

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

GCF(351,1308) x common factors =3 x 1 = 3

LCM(351,1308) = ( 351 × 1308 ) / 3

LCM(351,1308) = 459108 / 3

LCM(351,1308) = 153036


Lets's calculate GCF of 743,3626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153036/1

Therefore the LCM of Fractions 351/743,1308/3626 is 153036

Greatest Common Factor of 743,3626 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,3626 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1,2,7,14,37,49,74,98,259,518,1813,3626

Greatest Common Factor

We found the factors 743,3626 . The biggest common factor number is the GCF number.
So the greatest common factor 743,3626 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 351/743, 1308/3626

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 351/743, 1308/3626?

Answer: LCM of Numerators as per given numbers 351/743, 1308/3626 is

LCM of Numerators i.e. for 351,1308 is 153036

GCF of denominators i.e. for 743,3626 is 1.

Thus, LCM of Fractions is 153036.Finally, LCM of Fractions for 351/743, 1308/3626 is 153036.