Least Common Multiple of 785/80, 772/45, 402/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/80, 772/45, 402/21 quickly i.e. 121810020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/80, 772/45, 402/21 is 121810020.

LCM(785/80, 772/45, 402/21) = 121810020

LCM of 785/80, 772/45, 402/21

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 785/80,772/45,402/21

Given numbers are 785/80,772/45,402/21

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 785,772,402

Least Common Multiple of Numerators i.e. LCM of 785,772,402 is 121810020.

GCF of Denominators means GCF of 80,45,21 as per the given fractions.

GCF of 80,45,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,772,402

LCM of Fractions 785/80,772/45,402/21 is 121810020

2 785, 772, 402
785, 386, 201

∴ So the LCM of the given numbers is 2 x 785 x 386 x 201 = 121810020

Least Common Multiple of 785,772,402 with GCF Formula

Least Common Multiple of 785,772,402 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 785,772,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,772,402) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(785,772,402) x common factors =1 x 2 = 2

LCM(785,772,402) = ( 785 × 772 × 402 ) / 2

LCM(785,772,402) = 243620040 / 2

LCM(785,772,402) = 121810020


Lets's calculate GCF of 80,45,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121810020/1

Therefore the LCM of Fractions 785/80,772/45,402/21 is 121810020

Greatest Common Factor of 80,45,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,45,21 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 80,45,21 . The biggest common factor number is the GCF number.
So the greatest common factor 80,45,21 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 785/80, 772/45, 402/21

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 785/80, 772/45, 402/21?

Answer: LCM of Numerators as per given numbers 785/80, 772/45, 402/21 is

LCM of Numerators i.e. for 785,772,402 is 121810020

GCF of denominators i.e. for 80,45,21 is 1.

Thus, LCM of Fractions is 121810020.Finally, LCM of Fractions for 785/80, 772/45, 402/21 is 121810020.