Least Common Multiple of 90/882, 550/748, 473/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/882, 550/748, 473/789 quickly i.e. 212850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/882, 550/748, 473/789 is 212850.

LCM(90/882, 550/748, 473/789) = 212850

LCM of 90/882, 550/748, 473/789

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 90/882,550/748,473/789

Given numbers are 90/882,550/748,473/789

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 90,550,473

Least Common Multiple of Numerators i.e. LCM of 90,550,473 is 212850.

GCF of Denominators means GCF of 882,748,789 as per the given fractions.

GCF of 882,748,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,550,473

LCM of Fractions 90/882,550/748,473/789 is 212850

2 90, 550, 473
5 45, 275, 473
11 9, 55, 473
9, 5, 43

∴ So the LCM of the given numbers is 2 x 5 x 11 x 9 x 5 x 43 = 212850

Least Common Multiple of 90,550,473 with GCF Formula

Least Common Multiple of 90,550,473 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 90,550,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,550,473) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(90,550,473) x common factors =1 x 110 = 110

LCM(90,550,473) = ( 90 × 550 × 473 ) / 110

LCM(90,550,473) = 23413500 / 110

LCM(90,550,473) = 212850


Lets's calculate GCF of 882,748,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212850/1

Therefore the LCM of Fractions 90/882,550/748,473/789 is 212850

Greatest Common Factor of 882,748,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,748,789 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 882,748,789 . The biggest common factor number is the GCF number.
So the greatest common factor 882,748,789 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 90/882, 550/748, 473/789

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 90/882, 550/748, 473/789?

Answer: LCM of Numerators as per given numbers 90/882, 550/748, 473/789 is

LCM of Numerators i.e. for 90,550,473 is 212850

GCF of denominators i.e. for 882,748,789 is 1.

Thus, LCM of Fractions is 212850.Finally, LCM of Fractions for 90/882, 550/748, 473/789 is 212850.