Least Common Multiple of 90/633, 314/331, 845/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/633, 314/331, 845/312 quickly i.e. 2387970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/633, 314/331, 845/312 is 2387970.

LCM(90/633, 314/331, 845/312) = 2387970

LCM of 90/633, 314/331, 845/312

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 90/633,314/331,845/312

Given numbers are 90/633,314/331,845/312

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 90,314,845

Least Common Multiple of Numerators i.e. LCM of 90,314,845 is 2387970.

GCF of Denominators means GCF of 633,331,312 as per the given fractions.

GCF of 633,331,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,314,845

LCM of Fractions 90/633,314/331,845/312 is 2387970

2 90, 314, 845
5 45, 157, 845
9, 157, 169

∴ So the LCM of the given numbers is 2 x 5 x 9 x 157 x 169 = 2387970

Least Common Multiple of 90,314,845 with GCF Formula

Least Common Multiple of 90,314,845 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 90,314,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,314,845) = 1

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

GCF(90,314,845) x common factors =1 x 10 = 10

LCM(90,314,845) = ( 90 × 314 × 845 ) / 10

LCM(90,314,845) = 23879700 / 10

LCM(90,314,845) = 2387970


Lets's calculate GCF of 633,331,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2387970/1

Therefore the LCM of Fractions 90/633,314/331,845/312 is 2387970

Greatest Common Factor of 633,331,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,331,312 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 633,331,312 . The biggest common factor number is the GCF number.
So the greatest common factor 633,331,312 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 90/633, 314/331, 845/312

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 90/633, 314/331, 845/312?

Answer: LCM of Numerators as per given numbers 90/633, 314/331, 845/312 is

LCM of Numerators i.e. for 90,314,845 is 2387970

GCF of denominators i.e. for 633,331,312 is 1.

Thus, LCM of Fractions is 2387970.Finally, LCM of Fractions for 90/633, 314/331, 845/312 is 2387970.