Least Common Multiple of 66/813, 535/423, 978/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/813, 535/423, 978/101 quickly i.e. 5755530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/813, 535/423, 978/101 is 5755530.

LCM(66/813, 535/423, 978/101) = 5755530

LCM of 66/813, 535/423, 978/101

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 66/813,535/423,978/101

Given numbers are 66/813,535/423,978/101

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 66,535,978

Least Common Multiple of Numerators i.e. LCM of 66,535,978 is 5755530.

GCF of Denominators means GCF of 813,423,101 as per the given fractions.

GCF of 813,423,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,535,978

LCM of Fractions 66/813,535/423,978/101 is 5755530

2 66, 535, 978
3 33, 535, 489
11, 535, 163

∴ So the LCM of the given numbers is 2 x 3 x 11 x 535 x 163 = 5755530

Least Common Multiple of 66,535,978 with GCF Formula

Least Common Multiple of 66,535,978 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 66,535,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,535,978) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,535,978) x common factors =1 x 6 = 6

LCM(66,535,978) = ( 66 × 535 × 978 ) / 6

LCM(66,535,978) = 34533180 / 6

LCM(66,535,978) = 5755530


Lets's calculate GCF of 813,423,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5755530/1

Therefore the LCM of Fractions 66/813,535/423,978/101 is 5755530

Greatest Common Factor of 813,423,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,423,101 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 813,423,101 . The biggest common factor number is the GCF number.
So the greatest common factor 813,423,101 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 66/813, 535/423, 978/101

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 66/813, 535/423, 978/101?

Answer: LCM of Numerators as per given numbers 66/813, 535/423, 978/101 is

LCM of Numerators i.e. for 66,535,978 is 5755530

GCF of denominators i.e. for 813,423,101 is 1.

Thus, LCM of Fractions is 5755530.Finally, LCM of Fractions for 66/813, 535/423, 978/101 is 5755530.