Least Common Multiple of 20/719, 693/781, 685/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/719, 693/781, 685/798 quickly i.e. 1898820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/719, 693/781, 685/798 is 1898820.

LCM(20/719, 693/781, 685/798) = 1898820

LCM of 20/719, 693/781, 685/798

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 20/719,693/781,685/798

Given numbers are 20/719,693/781,685/798

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 20,693,685

Least Common Multiple of Numerators i.e. LCM of 20,693,685 is 1898820.

GCF of Denominators means GCF of 719,781,798 as per the given fractions.

GCF of 719,781,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,693,685

LCM of Fractions 20/719,693/781,685/798 is 1898820

5 20, 693, 685
4, 693, 137

∴ So the LCM of the given numbers is 5 x 4 x 693 x 137 = 1898820

Least Common Multiple of 20,693,685 with GCF Formula

Least Common Multiple of 20,693,685 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 20,693,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,693,685) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(20,693,685) x common factors =1 x 5 = 5

LCM(20,693,685) = ( 20 × 693 × 685 ) / 5

LCM(20,693,685) = 9494100 / 5

LCM(20,693,685) = 1898820


Lets's calculate GCF of 719,781,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1898820/1

Therefore the LCM of Fractions 20/719,693/781,685/798 is 1898820

Greatest Common Factor of 719,781,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,781,798 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 719,781,798 . The biggest common factor number is the GCF number.
So the greatest common factor 719,781,798 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/719, 693/781, 685/798

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 20/719, 693/781, 685/798?

Answer: LCM of Numerators as per given numbers 20/719, 693/781, 685/798 is

LCM of Numerators i.e. for 20,693,685 is 1898820

GCF of denominators i.e. for 719,781,798 is 1.

Thus, LCM of Fractions is 1898820.Finally, LCM of Fractions for 20/719, 693/781, 685/798 is 1898820.