Least Common Multiple of 90/605, 48/859, 988/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/605, 48/859, 988/260 quickly i.e. 177840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/605, 48/859, 988/260 is 177840.

LCM(90/605, 48/859, 988/260) = 177840

LCM of 90/605, 48/859, 988/260

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 90/605,48/859,988/260

Given numbers are 90/605,48/859,988/260

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 90,48,988

Least Common Multiple of Numerators i.e. LCM of 90,48,988 is 177840.

GCF of Denominators means GCF of 605,859,260 as per the given fractions.

GCF of 605,859,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,48,988

LCM of Fractions 90/605,48/859,988/260 is 177840

2 90, 48, 988
2 45, 24, 494
3 45, 12, 247
15, 4, 247

∴ So the LCM of the given numbers is 2 x 2 x 3 x 15 x 4 x 247 = 177840

Least Common Multiple of 90,48,988 with GCF Formula

Least Common Multiple of 90,48,988 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 90,48,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,48,988) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(90,48,988) x common factors =2 x 12 = 24

LCM(90,48,988) = ( 90 × 48 × 988 ) / 24

LCM(90,48,988) = 4268160 / 24

LCM(90,48,988) = 177840


Lets's calculate GCF of 605,859,260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177840/1

Therefore the LCM of Fractions 90/605,48/859,988/260 is 177840

Greatest Common Factor of 605,859,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,859,260 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 605,859,260 . The biggest common factor number is the GCF number.
So the greatest common factor 605,859,260 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 90/605, 48/859, 988/260

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 90/605, 48/859, 988/260?

Answer: LCM of Numerators as per given numbers 90/605, 48/859, 988/260 is

LCM of Numerators i.e. for 90,48,988 is 177840

GCF of denominators i.e. for 605,859,260 is 1.

Thus, LCM of Fractions is 177840.Finally, LCM of Fractions for 90/605, 48/859, 988/260 is 177840.