Least Common Multiple of 20/77, 814/19, 407/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/77, 814/19, 407/634 quickly i.e. 8140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/77, 814/19, 407/634 is 8140.

LCM(20/77, 814/19, 407/634) = 8140

LCM of 20/77, 814/19, 407/634

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 20/77,814/19,407/634

Given numbers are 20/77,814/19,407/634

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 20,814,407

Least Common Multiple of Numerators i.e. LCM of 20,814,407 is 8140.

GCF of Denominators means GCF of 77,19,634 as per the given fractions.

GCF of 77,19,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,814,407

LCM of Fractions 20/77,814/19,407/634 is 8140

2 20, 814, 407
11 10, 407, 407
37 10, 37, 37
10, 1, 1

∴ So the LCM of the given numbers is 2 x 11 x 37 x 10 x 1 x 1 = 8140

Least Common Multiple of 20,814,407 with GCF Formula

Least Common Multiple of 20,814,407 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 20,814,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,814,407) = 1

common factors(in case of two or more numbers have common factors) = 814

GCF(20,814,407) x common factors =1 x 814 = 814

LCM(20,814,407) = ( 20 × 814 × 407 ) / 814

LCM(20,814,407) = 6625960 / 814

LCM(20,814,407) = 8140


Lets's calculate GCF of 77,19,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8140/1

Therefore the LCM of Fractions 20/77,814/19,407/634 is 8140

Greatest Common Factor of 77,19,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,19,634 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 77,19,634 . The biggest common factor number is the GCF number.
So the greatest common factor 77,19,634 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 20/77, 814/19, 407/634

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 20/77, 814/19, 407/634?

Answer: LCM of Numerators as per given numbers 20/77, 814/19, 407/634 is

LCM of Numerators i.e. for 20,814,407 is 8140

GCF of denominators i.e. for 77,19,634 is 1.

Thus, LCM of Fractions is 8140.Finally, LCM of Fractions for 20/77, 814/19, 407/634 is 8140.