Least Common Multiple of 90/271, 66/588, 986/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/271, 66/588, 986/435 quickly i.e. 488070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/271, 66/588, 986/435 is 488070.

LCM(90/271, 66/588, 986/435) = 488070

LCM of 90/271, 66/588, 986/435

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 90/271,66/588,986/435

Given numbers are 90/271,66/588,986/435

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 90,66,986

Least Common Multiple of Numerators i.e. LCM of 90,66,986 is 488070.

GCF of Denominators means GCF of 271,588,435 as per the given fractions.

GCF of 271,588,435 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,66,986

LCM of Fractions 90/271,66/588,986/435 is 488070

2 90, 66, 986
3 45, 33, 493
15, 11, 493

∴ So the LCM of the given numbers is 2 x 3 x 15 x 11 x 493 = 488070

Least Common Multiple of 90,66,986 with GCF Formula

Least Common Multiple of 90,66,986 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 90,66,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,66,986) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(90,66,986) x common factors =2 x 6 = 12

LCM(90,66,986) = ( 90 × 66 × 986 ) / 12

LCM(90,66,986) = 5856840 / 12

LCM(90,66,986) = 488070


Lets's calculate GCF of 271,588,435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488070/1

Therefore the LCM of Fractions 90/271,66/588,986/435 is 488070

Greatest Common Factor of 271,588,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,588,435 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 271,588,435 . The biggest common factor number is the GCF number.
So the greatest common factor 271,588,435 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 90/271, 66/588, 986/435

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 90/271, 66/588, 986/435?

Answer: LCM of Numerators as per given numbers 90/271, 66/588, 986/435 is

LCM of Numerators i.e. for 90,66,986 is 488070

GCF of denominators i.e. for 271,588,435 is 1.

Thus, LCM of Fractions is 488070.Finally, LCM of Fractions for 90/271, 66/588, 986/435 is 488070.