Least Common Multiple of 35/86, 20/84, 96/26, 15/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/86, 20/84, 96/26, 15/124 quickly i.e. 1680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/86, 20/84, 96/26, 15/124 is 1680.

LCM(35/86, 20/84, 96/26, 15/124) = 1680

LCM of 35/86, 20/84, 96/26, 15/124

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 35/86,20/84,96/26,15/124

Given numbers are 35/86,20/84,96/26,15/124

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 35,20,96,15

Least Common Multiple of Numerators i.e. LCM of 35,20,96,15 is 3360.

GCF of Denominators means GCF of 86,84,26,124 as per the given fractions.

GCF of 86,84,26,124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,20,96,15

LCM of Fractions 35/86,20/84,96/26,15/124 is 1680

2 35, 20, 96, 15
2 35, 10, 48, 15
3 35, 5, 24, 15
5 35, 5, 8, 5
7, 1, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 8 x 1 = 3360

Least Common Multiple of 35,20,96,15 with GCF Formula

Least Common Multiple of 35,20,96,15 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 35,20,96,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,20,96,15) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(35,20,96,15) x common factors =1 x 300 = 300

LCM(35,20,96,15) = ( 35 × 20 × 96 × 15 ) / 300

LCM(35,20,96,15) = 1008000 / 300

LCM(35,20,96,15) = 3360


Lets's calculate GCF of 86,84,26,124

2 86, 84, 26, 124
43, 42, 13, 62

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360/2

Therefore the LCM of Fractions 35/86,20/84,96/26,15/124 is 1680

Greatest Common Factor of 86,84,26,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,84,26,124 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 86,84,26,124 . The biggest common factor number is the GCF number.
So the greatest common factor 86,84,26,124 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 35/86, 20/84, 96/26, 15/124

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 35/86, 20/84, 96/26, 15/124?

Answer: LCM of Numerators as per given numbers 35/86, 20/84, 96/26, 15/124 is

LCM of Numerators i.e. for 35,20,96,15 is 3360

GCF of denominators i.e. for 86,84,26,124 is 2.

Thus, LCM of Fractions is 1680.Finally, LCM of Fractions for 35/86, 20/84, 96/26, 15/124 is 1680.