Least Common Multiple of 90/188, 120/115, 836/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/188, 120/115, 836/428 quickly i.e. 75240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/188, 120/115, 836/428 is 75240.

LCM(90/188, 120/115, 836/428) = 75240

LCM of 90/188, 120/115, 836/428

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 90/188,120/115,836/428

Given numbers are 90/188,120/115,836/428

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 90,120,836

Least Common Multiple of Numerators i.e. LCM of 90,120,836 is 75240.

GCF of Denominators means GCF of 188,115,428 as per the given fractions.

GCF of 188,115,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,120,836

LCM of Fractions 90/188,120/115,836/428 is 75240

2 90, 120, 836
2 45, 60, 418
3 45, 30, 209
5 15, 10, 209
3, 2, 209

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 2 x 209 = 75240

Least Common Multiple of 90,120,836 with GCF Formula

Least Common Multiple of 90,120,836 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 90,120,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,120,836) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(90,120,836) x common factors =2 x 60 = 120

LCM(90,120,836) = ( 90 × 120 × 836 ) / 120

LCM(90,120,836) = 9028800 / 120

LCM(90,120,836) = 75240


Lets's calculate GCF of 188,115,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75240/1

Therefore the LCM of Fractions 90/188,120/115,836/428 is 75240

Greatest Common Factor of 188,115,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,115,428 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 188,115,428 . The biggest common factor number is the GCF number.
So the greatest common factor 188,115,428 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 90/188, 120/115, 836/428

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 90/188, 120/115, 836/428?

Answer: LCM of Numerators as per given numbers 90/188, 120/115, 836/428 is

LCM of Numerators i.e. for 90,120,836 is 75240

GCF of denominators i.e. for 188,115,428 is 1.

Thus, LCM of Fractions is 75240.Finally, LCM of Fractions for 90/188, 120/115, 836/428 is 75240.