Least Common Multiple of 15/84, 35/18, 68/35, 45/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/84, 35/18, 68/35, 45/420 quickly i.e. 21420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/84, 35/18, 68/35, 45/420 is 21420.

LCM(15/84, 35/18, 68/35, 45/420) = 21420

LCM of 15/84, 35/18, 68/35, 45/420

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 15/84,35/18,68/35,45/420

Given numbers are 15/84,35/18,68/35,45/420

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 15,35,68,45

Least Common Multiple of Numerators i.e. LCM of 15,35,68,45 is 21420.

GCF of Denominators means GCF of 84,18,35,420 as per the given fractions.

GCF of 84,18,35,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,35,68,45

LCM of Fractions 15/84,35/18,68/35,45/420 is 21420

3 15, 35, 68, 45
5 5, 35, 68, 15
1, 7, 68, 3

∴ So the LCM of the given numbers is 3 x 5 x 1 x 7 x 68 x 3 = 21420

Least Common Multiple of 15,35,68,45 with GCF Formula

Least Common Multiple of 15,35,68,45 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 15,35,68,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,35,68,45) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(15,35,68,45) x common factors =1 x 75 = 75

LCM(15,35,68,45) = ( 15 × 35 × 68 × 45 ) / 75

LCM(15,35,68,45) = 1606500 / 75

LCM(15,35,68,45) = 21420


Lets's calculate GCF of 84,18,35,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21420/1

Therefore the LCM of Fractions 15/84,35/18,68/35,45/420 is 21420

Greatest Common Factor of 84,18,35,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,18,35,420 By Matching Biggest Common Factor Method

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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 84,18,35,420 . The biggest common factor number is the GCF number.
So the greatest common factor 84,18,35,420 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 15/84, 35/18, 68/35, 45/420

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 15/84, 35/18, 68/35, 45/420?

Answer: LCM of Numerators as per given numbers 15/84, 35/18, 68/35, 45/420 is

LCM of Numerators i.e. for 15,35,68,45 is 21420

GCF of denominators i.e. for 84,18,35,420 is 1.

Thus, LCM of Fractions is 21420.Finally, LCM of Fractions for 15/84, 35/18, 68/35, 45/420 is 21420.