Least Common Multiple of 90/894, 438/400, 196/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/894, 438/400, 196/759 quickly i.e. 643860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/894, 438/400, 196/759 is 643860.

LCM(90/894, 438/400, 196/759) = 643860

LCM of 90/894, 438/400, 196/759

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 90/894,438/400,196/759

Given numbers are 90/894,438/400,196/759

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 90,438,196

Least Common Multiple of Numerators i.e. LCM of 90,438,196 is 643860.

GCF of Denominators means GCF of 894,400,759 as per the given fractions.

GCF of 894,400,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,438,196

LCM of Fractions 90/894,438/400,196/759 is 643860

2 90, 438, 196
3 45, 219, 98
15, 73, 98

∴ So the LCM of the given numbers is 2 x 3 x 15 x 73 x 98 = 643860

Least Common Multiple of 90,438,196 with GCF Formula

Least Common Multiple of 90,438,196 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 90,438,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,438,196) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(90,438,196) x common factors =2 x 6 = 12

LCM(90,438,196) = ( 90 × 438 × 196 ) / 12

LCM(90,438,196) = 7726320 / 12

LCM(90,438,196) = 643860


Lets's calculate GCF of 894,400,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643860/1

Therefore the LCM of Fractions 90/894,438/400,196/759 is 643860

Greatest Common Factor of 894,400,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,400,759 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 894,400,759 . The biggest common factor number is the GCF number.
So the greatest common factor 894,400,759 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 90/894, 438/400, 196/759

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 90/894, 438/400, 196/759?

Answer: LCM of Numerators as per given numbers 90/894, 438/400, 196/759 is

LCM of Numerators i.e. for 90,438,196 is 643860

GCF of denominators i.e. for 894,400,759 is 1.

Thus, LCM of Fractions is 643860.Finally, LCM of Fractions for 90/894, 438/400, 196/759 is 643860.