Least Common Multiple of 90/692, 242/37, 756/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/692, 242/37, 756/906 quickly i.e. 457380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/692, 242/37, 756/906 is 457380.

LCM(90/692, 242/37, 756/906) = 457380

LCM of 90/692, 242/37, 756/906

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 90/692,242/37,756/906

Given numbers are 90/692,242/37,756/906

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 90,242,756

Least Common Multiple of Numerators i.e. LCM of 90,242,756 is 457380.

GCF of Denominators means GCF of 692,37,906 as per the given fractions.

GCF of 692,37,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,242,756

LCM of Fractions 90/692,242/37,756/906 is 457380

2 90, 242, 756
3 45, 121, 378
3 15, 121, 126
5, 121, 42

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 121 x 42 = 457380

Least Common Multiple of 90,242,756 with GCF Formula

Least Common Multiple of 90,242,756 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 90,242,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,242,756) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(90,242,756) x common factors =2 x 18 = 36

LCM(90,242,756) = ( 90 × 242 × 756 ) / 36

LCM(90,242,756) = 16465680 / 36

LCM(90,242,756) = 457380


Lets's calculate GCF of 692,37,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457380/1

Therefore the LCM of Fractions 90/692,242/37,756/906 is 457380

Greatest Common Factor of 692,37,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,37,906 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 692,37,906 . The biggest common factor number is the GCF number.
So the greatest common factor 692,37,906 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 90/692, 242/37, 756/906

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 90/692, 242/37, 756/906?

Answer: LCM of Numerators as per given numbers 90/692, 242/37, 756/906 is

LCM of Numerators i.e. for 90,242,756 is 457380

GCF of denominators i.e. for 692,37,906 is 1.

Thus, LCM of Fractions is 457380.Finally, LCM of Fractions for 90/692, 242/37, 756/906 is 457380.