Least Common Multiple of 756/221, 3650/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 756/221, 3650/918 quickly i.e. 1379700/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/221, 3650/918 is 1379700/17.

LCM(756/221, 3650/918) = 1379700/17

LCM of 756/221, 3650/918

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 756/221,3650/918

Given numbers are 756/221,3650/918

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 756,3650

Least Common Multiple of Numerators i.e. LCM of 756,3650 is 1379700.

GCF of Denominators means GCF of 221,918 as per the given fractions.

GCF of 221,918 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,3650

LCM of Fractions 756/221,3650/918 is 1379700/17

2 756, 3650
378, 1825

∴ So the LCM of the given numbers is 2 x 378 x 1825 = 1379700

Least Common Multiple of 756,3650 with GCF Formula

Least Common Multiple of 756,3650 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 756,3650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,3650) = 2

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

GCF(756,3650) x common factors =2 x 1 = 2

LCM(756,3650) = ( 756 × 3650 ) / 2

LCM(756,3650) = 2759400 / 2

LCM(756,3650) = 1379700


Lets's calculate GCF of 221,918

17 221, 918
13, 54

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1379700/17

Therefore the LCM of Fractions 756/221,3650/918 is 1379700/17

Greatest Common Factor of 221,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,918 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 221,918 . The biggest common factor number is the GCF number.
So the greatest common factor 221,918 is 17.


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 756/221, 3650/918

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 756/221, 3650/918?

Answer: LCM of Numerators as per given numbers 756/221, 3650/918 is

LCM of Numerators i.e. for 756,3650 is 1379700

GCF of denominators i.e. for 221,918 is 17.

Thus, LCM of Fractions is 1379700/17.Finally, LCM of Fractions for 756/221, 3650/918 is 1379700/17.