Least Common Multiple of 90/220, 30/886, 162/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/220, 30/886, 162/762 quickly i.e. 405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/220, 30/886, 162/762 is 405.

LCM(90/220, 30/886, 162/762) = 405

LCM of 90/220, 30/886, 162/762

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 90/220,30/886,162/762

Given numbers are 90/220,30/886,162/762

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 90,30,162

Least Common Multiple of Numerators i.e. LCM of 90,30,162 is 810.

GCF of Denominators means GCF of 220,886,762 as per the given fractions.

GCF of 220,886,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,30,162

LCM of Fractions 90/220,30/886,162/762 is 405

2 90, 30, 162
3 45, 15, 81
3 5, 15, 27
5 5, 5, 9
1, 1, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 9 = 810

Least Common Multiple of 90,30,162 with GCF Formula

Least Common Multiple of 90,30,162 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 90,30,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,30,162) = 6

common factors(in case of two or more numbers have common factors) = 90

GCF(90,30,162) x common factors =6 x 90 = 540

LCM(90,30,162) = ( 90 × 30 × 162 ) / 540

LCM(90,30,162) = 437400 / 540

LCM(90,30,162) = 810


Lets's calculate GCF of 220,886,762

2 220, 886, 762
110, 443, 381

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 810/2

Therefore the LCM of Fractions 90/220,30/886,162/762 is 405

Greatest Common Factor of 220,886,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,886,762 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 220,886,762 . The biggest common factor number is the GCF number.
So the greatest common factor 220,886,762 is 2.


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 90/220, 30/886, 162/762

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 90/220, 30/886, 162/762?

Answer: LCM of Numerators as per given numbers 90/220, 30/886, 162/762 is

LCM of Numerators i.e. for 90,30,162 is 810

GCF of denominators i.e. for 220,886,762 is 2.

Thus, LCM of Fractions is 405.Finally, LCM of Fractions for 90/220, 30/886, 162/762 is 405.