Least Common Multiple of 21/70, 243/84, 785/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/70, 243/84, 785/189 quickly i.e. 190755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/70, 243/84, 785/189 is 190755.

LCM(21/70, 243/84, 785/189) = 190755

LCM of 21/70, 243/84, 785/189

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 21/70,243/84,785/189

Given numbers are 21/70,243/84,785/189

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 21,243,785

Least Common Multiple of Numerators i.e. LCM of 21,243,785 is 1335285.

GCF of Denominators means GCF of 70,84,189 as per the given fractions.

GCF of 70,84,189 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,243,785

LCM of Fractions 21/70,243/84,785/189 is 190755

3 21, 243, 785
7, 81, 785

∴ So the LCM of the given numbers is 3 x 7 x 81 x 785 = 1335285

Least Common Multiple of 21,243,785 with GCF Formula

Least Common Multiple of 21,243,785 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 21,243,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,243,785) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,243,785) x common factors =1 x 3 = 3

LCM(21,243,785) = ( 21 × 243 × 785 ) / 3

LCM(21,243,785) = 4005855 / 3

LCM(21,243,785) = 1335285


Lets's calculate GCF of 70,84,189

7 70, 84, 189
10, 12, 27

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1335285/7

Therefore the LCM of Fractions 21/70,243/84,785/189 is 190755

Greatest Common Factor of 70,84,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,84,189 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

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 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 70,84,189 . The biggest common factor number is the GCF number.
So the greatest common factor 70,84,189 is 7.


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 21/70, 243/84, 785/189

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 21/70, 243/84, 785/189?

Answer: LCM of Numerators as per given numbers 21/70, 243/84, 785/189 is

LCM of Numerators i.e. for 21,243,785 is 1335285

GCF of denominators i.e. for 70,84,189 is 7.

Thus, LCM of Fractions is 190755.Finally, LCM of Fractions for 21/70, 243/84, 785/189 is 190755.