Least Common Multiple of 90/886, 95/280, 617/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/886, 95/280, 617/574 quickly i.e. 527535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/886, 95/280, 617/574 is 527535.

LCM(90/886, 95/280, 617/574) = 527535

LCM of 90/886, 95/280, 617/574

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 90/886,95/280,617/574

Given numbers are 90/886,95/280,617/574

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 90,95,617

Least Common Multiple of Numerators i.e. LCM of 90,95,617 is 1055070.

GCF of Denominators means GCF of 886,280,574 as per the given fractions.

GCF of 886,280,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,95,617

LCM of Fractions 90/886,95/280,617/574 is 527535

5 90, 95, 617
18, 19, 617

∴ So the LCM of the given numbers is 5 x 18 x 19 x 617 = 1055070

Least Common Multiple of 90,95,617 with GCF Formula

Least Common Multiple of 90,95,617 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 90,95,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,95,617) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(90,95,617) x common factors =1 x 5 = 5

LCM(90,95,617) = ( 90 × 95 × 617 ) / 5

LCM(90,95,617) = 5275350 / 5

LCM(90,95,617) = 1055070


Lets's calculate GCF of 886,280,574

2 886, 280, 574
443, 140, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1055070/2

Therefore the LCM of Fractions 90/886,95/280,617/574 is 527535

Greatest Common Factor of 886,280,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,280,574 By Matching Biggest Common Factor Method

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 886,280,574 . The biggest common factor number is the GCF number.
So the greatest common factor 886,280,574 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 90/886, 95/280, 617/574

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 90/886, 95/280, 617/574?

Answer: LCM of Numerators as per given numbers 90/886, 95/280, 617/574 is

LCM of Numerators i.e. for 90,95,617 is 1055070

GCF of denominators i.e. for 886,280,574 is 2.

Thus, LCM of Fractions is 527535.Finally, LCM of Fractions for 90/886, 95/280, 617/574 is 527535.