Least Common Multiple of 35/66, 570/83, 570/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/66, 570/83, 570/927 quickly i.e. 3990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/66, 570/83, 570/927 is 3990.

LCM(35/66, 570/83, 570/927) = 3990

LCM of 35/66, 570/83, 570/927

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 35/66,570/83,570/927

Given numbers are 35/66,570/83,570/927

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 35,570,570

Least Common Multiple of Numerators i.e. LCM of 35,570,570 is 3990.

GCF of Denominators means GCF of 66,83,927 as per the given fractions.

GCF of 66,83,927 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,570,570

LCM of Fractions 35/66,570/83,570/927 is 3990

2 35, 570, 570
3 35, 285, 285
5 35, 95, 95
19 7, 19, 19
7, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 7 x 1 x 1 = 3990

Least Common Multiple of 35,570,570 with GCF Formula

Least Common Multiple of 35,570,570 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 35,570,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,570,570) = 5

common factors(in case of two or more numbers have common factors) = 570

GCF(35,570,570) x common factors =5 x 570 = 2850

LCM(35,570,570) = ( 35 × 570 × 570 ) / 2850

LCM(35,570,570) = 11371500 / 2850

LCM(35,570,570) = 3990


Lets's calculate GCF of 66,83,927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3990/1

Therefore the LCM of Fractions 35/66,570/83,570/927 is 3990

Greatest Common Factor of 66,83,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,83,927 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 66,83,927 . The biggest common factor number is the GCF number.
So the greatest common factor 66,83,927 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 35/66, 570/83, 570/927

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 35/66, 570/83, 570/927?

Answer: LCM of Numerators as per given numbers 35/66, 570/83, 570/927 is

LCM of Numerators i.e. for 35,570,570 is 3990

GCF of denominators i.e. for 66,83,927 is 1.

Thus, LCM of Fractions is 3990.Finally, LCM of Fractions for 35/66, 570/83, 570/927 is 3990.