Least Common Multiple of 90/187, 5206/3461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/187, 5206/3461 quickly i.e. 234270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/187, 5206/3461 is 234270.

LCM(90/187, 5206/3461) = 234270

LCM of 90/187, 5206/3461

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 90/187,5206/3461

Given numbers are 90/187,5206/3461

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 90,5206

Least Common Multiple of Numerators i.e. LCM of 90,5206 is 234270.

GCF of Denominators means GCF of 187,3461 as per the given fractions.

GCF of 187,3461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,5206

LCM of Fractions 90/187,5206/3461 is 234270

2 90, 5206
45, 2603

∴ So the LCM of the given numbers is 2 x 45 x 2603 = 234270

Least Common Multiple of 90,5206 with GCF Formula

Least Common Multiple of 90,5206 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 90,5206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,5206) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(90,5206) x common factors =2 x 1 = 2

LCM(90,5206) = ( 90 × 5206 ) / 2

LCM(90,5206) = 468540 / 2

LCM(90,5206) = 234270


Lets's calculate GCF of 187,3461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234270/1

Therefore the LCM of Fractions 90/187,5206/3461 is 234270

Greatest Common Factor of 187,3461 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,3461 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 3461

List of positive integer factors of 3461 that divides 3461 without a remainder.

1,3461

Greatest Common Factor

We found the factors 187,3461 . The biggest common factor number is the GCF number.
So the greatest common factor 187,3461 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 90/187, 5206/3461

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 90/187, 5206/3461?

Answer: LCM of Numerators as per given numbers 90/187, 5206/3461 is

LCM of Numerators i.e. for 90,5206 is 234270

GCF of denominators i.e. for 187,3461 is 1.

Thus, LCM of Fractions is 234270.Finally, LCM of Fractions for 90/187, 5206/3461 is 234270.