Least Common Multiple of 415/52, 562/20, 300/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 415/52, 562/20, 300/860 quickly i.e. 1749225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 415/52, 562/20, 300/860 is 1749225.

LCM(415/52, 562/20, 300/860) = 1749225

LCM of 415/52, 562/20, 300/860

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 415/52,562/20,300/860

Given numbers are 415/52,562/20,300/860

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 415,562,300

Least Common Multiple of Numerators i.e. LCM of 415,562,300 is 6996900.

GCF of Denominators means GCF of 52,20,860 as per the given fractions.

GCF of 52,20,860 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 415,562,300

LCM of Fractions 415/52,562/20,300/860 is 1749225

2 415, 562, 300
5 415, 281, 150
83, 281, 30

∴ So the LCM of the given numbers is 2 x 5 x 83 x 281 x 30 = 6996900

Least Common Multiple of 415,562,300 with GCF Formula

Least Common Multiple of 415,562,300 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 415,562,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(415,562,300) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(415,562,300) x common factors =1 x 10 = 10

LCM(415,562,300) = ( 415 × 562 × 300 ) / 10

LCM(415,562,300) = 69969000 / 10

LCM(415,562,300) = 6996900


Lets's calculate GCF of 52,20,860

2 52, 20, 860
2 26, 10, 430
13, 5, 215

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6996900/4

Therefore the LCM of Fractions 415/52,562/20,300/860 is 1749225

Greatest Common Factor of 52,20,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,20,860 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 20

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

1,2,4,5,10,20

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 52,20,860 . The biggest common factor number is the GCF number.
So the greatest common factor 52,20,860 is 4.


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 415/52, 562/20, 300/860

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 415/52, 562/20, 300/860?

Answer: LCM of Numerators as per given numbers 415/52, 562/20, 300/860 is

LCM of Numerators i.e. for 415,562,300 is 6996900

GCF of denominators i.e. for 52,20,860 is 4.

Thus, LCM of Fractions is 1749225.Finally, LCM of Fractions for 415/52, 562/20, 300/860 is 1749225.