Least Common Multiple of 87/580, 44/122, 826/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/580, 44/122, 826/830 quickly i.e. 790482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/580, 44/122, 826/830 is 790482.

LCM(87/580, 44/122, 826/830) = 790482

LCM of 87/580, 44/122, 826/830

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 87/580,44/122,826/830

Given numbers are 87/580,44/122,826/830

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 87,44,826

Least Common Multiple of Numerators i.e. LCM of 87,44,826 is 1580964.

GCF of Denominators means GCF of 580,122,830 as per the given fractions.

GCF of 580,122,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,44,826

LCM of Fractions 87/580,44/122,826/830 is 790482

2 87, 44, 826
87, 22, 413

∴ So the LCM of the given numbers is 2 x 87 x 22 x 413 = 1580964

Least Common Multiple of 87,44,826 with GCF Formula

Least Common Multiple of 87,44,826 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 87,44,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,44,826) = 1

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

GCF(87,44,826) x common factors =1 x 2 = 2

LCM(87,44,826) = ( 87 × 44 × 826 ) / 2

LCM(87,44,826) = 3161928 / 2

LCM(87,44,826) = 1580964


Lets's calculate GCF of 580,122,830

2 580, 122, 830
290, 61, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1580964/2

Therefore the LCM of Fractions 87/580,44/122,826/830 is 790482

Greatest Common Factor of 580,122,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,122,830 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 580,122,830 . The biggest common factor number is the GCF number.
So the greatest common factor 580,122,830 is 2.


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 87/580, 44/122, 826/830

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 87/580, 44/122, 826/830?

Answer: LCM of Numerators as per given numbers 87/580, 44/122, 826/830 is

LCM of Numerators i.e. for 87,44,826 is 1580964

GCF of denominators i.e. for 580,122,830 is 2.

Thus, LCM of Fractions is 790482.Finally, LCM of Fractions for 87/580, 44/122, 826/830 is 790482.