Least Common Multiple of 35/20, 66/12, 77/46, 85/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/20, 66/12, 77/46, 85/956 quickly i.e. 19635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/20, 66/12, 77/46, 85/956 is 19635.

LCM(35/20, 66/12, 77/46, 85/956) = 19635

LCM of 35/20, 66/12, 77/46, 85/956

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 35/20,66/12,77/46,85/956

Given numbers are 35/20,66/12,77/46,85/956

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 35,66,77,85

Least Common Multiple of Numerators i.e. LCM of 35,66,77,85 is 39270.

GCF of Denominators means GCF of 20,12,46,956 as per the given fractions.

GCF of 20,12,46,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,66,77,85

LCM of Fractions 35/20,66/12,77/46,85/956 is 19635

5 35, 66, 77, 85
7 7, 66, 77, 17
11 1, 66, 11, 17
1, 6, 1, 17

∴ So the LCM of the given numbers is 5 x 7 x 11 x 1 x 6 x 1 x 17 = 39270

Least Common Multiple of 35,66,77,85 with GCF Formula

Least Common Multiple of 35,66,77,85 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 35,66,77,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,66,77,85) = 1

common factors(in case of two or more numbers have common factors) = 385

GCF(35,66,77,85) x common factors =1 x 385 = 385

LCM(35,66,77,85) = ( 35 × 66 × 77 × 85 ) / 385

LCM(35,66,77,85) = 15118950 / 385

LCM(35,66,77,85) = 39270


Lets's calculate GCF of 20,12,46,956

2 20, 12, 46, 956
10, 6, 23, 478

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39270/2

Therefore the LCM of Fractions 35/20,66/12,77/46,85/956 is 19635

Greatest Common Factor of 20,12,46,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,12,46,956 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 20,12,46,956 . The biggest common factor number is the GCF number.
So the greatest common factor 20,12,46,956 is 2.


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 35/20, 66/12, 77/46, 85/956

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 35/20, 66/12, 77/46, 85/956?

Answer: LCM of Numerators as per given numbers 35/20, 66/12, 77/46, 85/956 is

LCM of Numerators i.e. for 35,66,77,85 is 39270

GCF of denominators i.e. for 20,12,46,956 is 2.

Thus, LCM of Fractions is 19635.Finally, LCM of Fractions for 35/20, 66/12, 77/46, 85/956 is 19635.