Least Common Multiple of 21/37, 685/12, 469/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/37, 685/12, 469/665 quickly i.e. 963795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/37, 685/12, 469/665 is 963795.

LCM(21/37, 685/12, 469/665) = 963795

LCM of 21/37, 685/12, 469/665

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 21/37,685/12,469/665

Given numbers are 21/37,685/12,469/665

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 21,685,469

Least Common Multiple of Numerators i.e. LCM of 21,685,469 is 963795.

GCF of Denominators means GCF of 37,12,665 as per the given fractions.

GCF of 37,12,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,685,469

LCM of Fractions 21/37,685/12,469/665 is 963795

7 21, 685, 469
3, 685, 67

∴ So the LCM of the given numbers is 7 x 3 x 685 x 67 = 963795

Least Common Multiple of 21,685,469 with GCF Formula

Least Common Multiple of 21,685,469 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 21,685,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,685,469) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(21,685,469) x common factors =1 x 7 = 7

LCM(21,685,469) = ( 21 × 685 × 469 ) / 7

LCM(21,685,469) = 6746565 / 7

LCM(21,685,469) = 963795


Lets's calculate GCF of 37,12,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 963795/1

Therefore the LCM of Fractions 21/37,685/12,469/665 is 963795

Greatest Common Factor of 37,12,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,12,665 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 12

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

1,2,3,4,6,12

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 37,12,665 . The biggest common factor number is the GCF number.
So the greatest common factor 37,12,665 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 21/37, 685/12, 469/665

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 21/37, 685/12, 469/665?

Answer: LCM of Numerators as per given numbers 21/37, 685/12, 469/665 is

LCM of Numerators i.e. for 21,685,469 is 963795

GCF of denominators i.e. for 37,12,665 is 1.

Thus, LCM of Fractions is 963795.Finally, LCM of Fractions for 21/37, 685/12, 469/665 is 963795.