Least Common Multiple of 21/650, 6985/6786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/650, 6985/6786 quickly i.e. 146685/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/650, 6985/6786 is 146685/26.

LCM(21/650, 6985/6786) = 146685/26

LCM of 21/650, 6985/6786

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 21/650,6985/6786

Given numbers are 21/650,6985/6786

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 21,6985

Least Common Multiple of Numerators i.e. LCM of 21,6985 is 146685.

GCF of Denominators means GCF of 650,6786 as per the given fractions.

GCF of 650,6786 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,6985

LCM of Fractions 21/650,6985/6786 is 146685/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 146685

Least Common Multiple of 21,6985 with GCF Formula

Least Common Multiple of 21,6985 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 21,6985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,6985) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(21,6985) x common factors =1 x 1 = 1

LCM(21,6985) = ( 21 × 6985 ) / 1

LCM(21,6985) = 146685 / 1

LCM(21,6985) = 146685


Lets's calculate GCF of 650,6786

2 650, 6786
13 325, 3393
25, 261

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146685/26

Therefore the LCM of Fractions 21/650,6985/6786 is 146685/26

Greatest Common Factor of 650,6786 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,6786 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Greatest Common Factor

We found the factors 650,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 650,6786 is 26.


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 21/650, 6985/6786

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 21/650, 6985/6786?

Answer: LCM of Numerators as per given numbers 21/650, 6985/6786 is

LCM of Numerators i.e. for 21,6985 is 146685

GCF of denominators i.e. for 650,6786 is 26.

Thus, LCM of Fractions is 146685/26.Finally, LCM of Fractions for 21/650, 6985/6786 is 146685/26.