Least Common Multiple of 90/586, 18/780, 155/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/586, 18/780, 155/765 quickly i.e. 2790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/586, 18/780, 155/765 is 2790.

LCM(90/586, 18/780, 155/765) = 2790

LCM of 90/586, 18/780, 155/765

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 90/586,18/780,155/765

Given numbers are 90/586,18/780,155/765

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 90,18,155

Least Common Multiple of Numerators i.e. LCM of 90,18,155 is 2790.

GCF of Denominators means GCF of 586,780,765 as per the given fractions.

GCF of 586,780,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,18,155

LCM of Fractions 90/586,18/780,155/765 is 2790

2 90, 18, 155
3 45, 9, 155
3 15, 3, 155
5 5, 1, 155
1, 1, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 31 = 2790

Least Common Multiple of 90,18,155 with GCF Formula

Least Common Multiple of 90,18,155 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 90,18,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,18,155) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(90,18,155) x common factors =1 x 90 = 90

LCM(90,18,155) = ( 90 × 18 × 155 ) / 90

LCM(90,18,155) = 251100 / 90

LCM(90,18,155) = 2790


Lets's calculate GCF of 586,780,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2790/1

Therefore the LCM of Fractions 90/586,18/780,155/765 is 2790

Greatest Common Factor of 586,780,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,780,765 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 586,780,765 . The biggest common factor number is the GCF number.
So the greatest common factor 586,780,765 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 90/586, 18/780, 155/765

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 90/586, 18/780, 155/765?

Answer: LCM of Numerators as per given numbers 90/586, 18/780, 155/765 is

LCM of Numerators i.e. for 90,18,155 is 2790

GCF of denominators i.e. for 586,780,765 is 1.

Thus, LCM of Fractions is 2790.Finally, LCM of Fractions for 90/586, 18/780, 155/765 is 2790.