Least Common Multiple of 40/862, 52/609, 416/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/862, 52/609, 416/213 quickly i.e. 2080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/862, 52/609, 416/213 is 2080.

LCM(40/862, 52/609, 416/213) = 2080

LCM of 40/862, 52/609, 416/213

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 40/862,52/609,416/213

Given numbers are 40/862,52/609,416/213

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 40,52,416

Least Common Multiple of Numerators i.e. LCM of 40,52,416 is 2080.

GCF of Denominators means GCF of 862,609,213 as per the given fractions.

GCF of 862,609,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,52,416

LCM of Fractions 40/862,52/609,416/213 is 2080

2 40, 52, 416
2 20, 26, 208
2 10, 13, 104
13 5, 13, 52
5, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 5 x 1 x 4 = 2080

Least Common Multiple of 40,52,416 with GCF Formula

Least Common Multiple of 40,52,416 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 40,52,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,52,416) = 4

common factors(in case of two or more numbers have common factors) = 104

GCF(40,52,416) x common factors =4 x 104 = 416

LCM(40,52,416) = ( 40 × 52 × 416 ) / 416

LCM(40,52,416) = 865280 / 416

LCM(40,52,416) = 2080


Lets's calculate GCF of 862,609,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2080/1

Therefore the LCM of Fractions 40/862,52/609,416/213 is 2080

Greatest Common Factor of 862,609,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,609,213 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 862,609,213 . The biggest common factor number is the GCF number.
So the greatest common factor 862,609,213 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 40/862, 52/609, 416/213

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 40/862, 52/609, 416/213?

Answer: LCM of Numerators as per given numbers 40/862, 52/609, 416/213 is

LCM of Numerators i.e. for 40,52,416 is 2080

GCF of denominators i.e. for 862,609,213 is 1.

Thus, LCM of Fractions is 2080.Finally, LCM of Fractions for 40/862, 52/609, 416/213 is 2080.