Least Common Multiple of 807/74, 849/20, 102/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 807/74, 849/20, 102/59 quickly i.e. 7764954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/74, 849/20, 102/59 is 7764954.

LCM(807/74, 849/20, 102/59) = 7764954

LCM of 807/74, 849/20, 102/59

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 807/74,849/20,102/59

Given numbers are 807/74,849/20,102/59

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 807,849,102

Least Common Multiple of Numerators i.e. LCM of 807,849,102 is 7764954.

GCF of Denominators means GCF of 74,20,59 as per the given fractions.

GCF of 74,20,59 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,849,102

LCM of Fractions 807/74,849/20,102/59 is 7764954

3 807, 849, 102
269, 283, 34

∴ So the LCM of the given numbers is 3 x 269 x 283 x 34 = 7764954

Least Common Multiple of 807,849,102 with GCF Formula

Least Common Multiple of 807,849,102 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 807,849,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,849,102) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(807,849,102) x common factors =3 x 3 = 9

LCM(807,849,102) = ( 807 × 849 × 102 ) / 9

LCM(807,849,102) = 69884586 / 9

LCM(807,849,102) = 7764954


Lets's calculate GCF of 74,20,59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7764954/1

Therefore the LCM of Fractions 807/74,849/20,102/59 is 7764954

Greatest Common Factor of 74,20,59 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,20,59 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Greatest Common Factor

We found the factors 74,20,59 . The biggest common factor number is the GCF number.
So the greatest common factor 74,20,59 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 807/74, 849/20, 102/59

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 807/74, 849/20, 102/59?

Answer: LCM of Numerators as per given numbers 807/74, 849/20, 102/59 is

LCM of Numerators i.e. for 807,849,102 is 7764954

GCF of denominators i.e. for 74,20,59 is 1.

Thus, LCM of Fractions is 7764954.Finally, LCM of Fractions for 807/74, 849/20, 102/59 is 7764954.