Least Common Multiple of 213/44, 753/56, 645/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/44, 753/56, 645/685 quickly i.e. 11494545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/44, 753/56, 645/685 is 11494545.

LCM(213/44, 753/56, 645/685) = 11494545

LCM of 213/44, 753/56, 645/685

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 213/44,753/56,645/685

Given numbers are 213/44,753/56,645/685

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 213,753,645

Least Common Multiple of Numerators i.e. LCM of 213,753,645 is 11494545.

GCF of Denominators means GCF of 44,56,685 as per the given fractions.

GCF of 44,56,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,753,645

LCM of Fractions 213/44,753/56,645/685 is 11494545

3 213, 753, 645
71, 251, 215

∴ So the LCM of the given numbers is 3 x 71 x 251 x 215 = 11494545

Least Common Multiple of 213,753,645 with GCF Formula

Least Common Multiple of 213,753,645 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 213,753,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,753,645) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(213,753,645) x common factors =3 x 3 = 9

LCM(213,753,645) = ( 213 × 753 × 645 ) / 9

LCM(213,753,645) = 103450905 / 9

LCM(213,753,645) = 11494545


Lets's calculate GCF of 44,56,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11494545/1

Therefore the LCM of Fractions 213/44,753/56,645/685 is 11494545

Greatest Common Factor of 44,56,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,56,685 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 44,56,685 . The biggest common factor number is the GCF number.
So the greatest common factor 44,56,685 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 213/44, 753/56, 645/685

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 213/44, 753/56, 645/685?

Answer: LCM of Numerators as per given numbers 213/44, 753/56, 645/685 is

LCM of Numerators i.e. for 213,753,645 is 11494545

GCF of denominators i.e. for 44,56,685 is 1.

Thus, LCM of Fractions is 11494545.Finally, LCM of Fractions for 213/44, 753/56, 645/685 is 11494545.