Least Common Multiple of 90/101, 235/687, 740/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/101, 235/687, 740/202 quickly i.e. 313020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/101, 235/687, 740/202 is 313020.

LCM(90/101, 235/687, 740/202) = 313020

LCM of 90/101, 235/687, 740/202

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 90/101,235/687,740/202

Given numbers are 90/101,235/687,740/202

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 90,235,740

Least Common Multiple of Numerators i.e. LCM of 90,235,740 is 313020.

GCF of Denominators means GCF of 101,687,202 as per the given fractions.

GCF of 101,687,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,235,740

LCM of Fractions 90/101,235/687,740/202 is 313020

2 90, 235, 740
5 45, 235, 370
9, 47, 74

∴ So the LCM of the given numbers is 2 x 5 x 9 x 47 x 74 = 313020

Least Common Multiple of 90,235,740 with GCF Formula

Least Common Multiple of 90,235,740 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 90,235,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,235,740) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(90,235,740) x common factors =5 x 10 = 50

LCM(90,235,740) = ( 90 × 235 × 740 ) / 50

LCM(90,235,740) = 15651000 / 50

LCM(90,235,740) = 313020


Lets's calculate GCF of 101,687,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313020/1

Therefore the LCM of Fractions 90/101,235/687,740/202 is 313020

Greatest Common Factor of 101,687,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,687,202 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 101,687,202 . The biggest common factor number is the GCF number.
So the greatest common factor 101,687,202 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 90/101, 235/687, 740/202

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 90/101, 235/687, 740/202?

Answer: LCM of Numerators as per given numbers 90/101, 235/687, 740/202 is

LCM of Numerators i.e. for 90,235,740 is 313020

GCF of denominators i.e. for 101,687,202 is 1.

Thus, LCM of Fractions is 313020.Finally, LCM of Fractions for 90/101, 235/687, 740/202 is 313020.