Least Common Multiple of 70/544, 2100/9349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/544, 2100/9349 quickly i.e. 2100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/544, 2100/9349 is 2100.

LCM(70/544, 2100/9349) = 2100

LCM of 70/544, 2100/9349

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 70/544,2100/9349

Given numbers are 70/544,2100/9349

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 70,2100

Least Common Multiple of Numerators i.e. LCM of 70,2100 is 2100.

GCF of Denominators means GCF of 544,9349 as per the given fractions.

GCF of 544,9349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,2100

LCM of Fractions 70/544,2100/9349 is 2100

2 70, 2100
5 35, 1050
7 7, 210
1, 30

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 30 = 2100

Least Common Multiple of 70,2100 with GCF Formula

Least Common Multiple of 70,2100 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 70,2100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,2100) = 70

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

GCF(70,2100) x common factors =70 x 1 = 70

LCM(70,2100) = ( 70 × 2100 ) / 70

LCM(70,2100) = 147000 / 70

LCM(70,2100) = 2100


Lets's calculate GCF of 544,9349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2100/1

Therefore the LCM of Fractions 70/544,2100/9349 is 2100

Greatest Common Factor of 544,9349 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,9349 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 9349

List of positive integer factors of 9349 that divides 9349 without a remainder.

1,9349

Greatest Common Factor

We found the factors 544,9349 . The biggest common factor number is the GCF number.
So the greatest common factor 544,9349 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 70/544, 2100/9349

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 70/544, 2100/9349?

Answer: LCM of Numerators as per given numbers 70/544, 2100/9349 is

LCM of Numerators i.e. for 70,2100 is 2100

GCF of denominators i.e. for 544,9349 is 1.

Thus, LCM of Fractions is 2100.Finally, LCM of Fractions for 70/544, 2100/9349 is 2100.