Least Common Multiple of 580/40, 870/91, 907/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/40, 870/91, 907/684 quickly i.e. 1578180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/40, 870/91, 907/684 is 1578180.

LCM(580/40, 870/91, 907/684) = 1578180

LCM of 580/40, 870/91, 907/684

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 580/40,870/91,907/684

Given numbers are 580/40,870/91,907/684

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 580,870,907

Least Common Multiple of Numerators i.e. LCM of 580,870,907 is 1578180.

GCF of Denominators means GCF of 40,91,684 as per the given fractions.

GCF of 40,91,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,870,907

LCM of Fractions 580/40,870/91,907/684 is 1578180

2 580, 870, 907
5 290, 435, 907
29 58, 87, 907
2, 3, 907

∴ So the LCM of the given numbers is 2 x 5 x 29 x 2 x 3 x 907 = 1578180

Least Common Multiple of 580,870,907 with GCF Formula

Least Common Multiple of 580,870,907 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 580,870,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,870,907) = 1

common factors(in case of two or more numbers have common factors) = 290

GCF(580,870,907) x common factors =1 x 290 = 290

LCM(580,870,907) = ( 580 × 870 × 907 ) / 290

LCM(580,870,907) = 457672200 / 290

LCM(580,870,907) = 1578180


Lets's calculate GCF of 40,91,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1578180/1

Therefore the LCM of Fractions 580/40,870/91,907/684 is 1578180

Greatest Common Factor of 40,91,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,91,684 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 40,91,684 . The biggest common factor number is the GCF number.
So the greatest common factor 40,91,684 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 580/40, 870/91, 907/684

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 580/40, 870/91, 907/684?

Answer: LCM of Numerators as per given numbers 580/40, 870/91, 907/684 is

LCM of Numerators i.e. for 580,870,907 is 1578180

GCF of denominators i.e. for 40,91,684 is 1.

Thus, LCM of Fractions is 1578180.Finally, LCM of Fractions for 580/40, 870/91, 907/684 is 1578180.