Least Common Multiple of 45/468, 90/989, 362/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/468, 90/989, 362/708 quickly i.e. 16290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/468, 90/989, 362/708 is 16290.

LCM(45/468, 90/989, 362/708) = 16290

LCM of 45/468, 90/989, 362/708

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 45/468,90/989,362/708

Given numbers are 45/468,90/989,362/708

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 45,90,362

Least Common Multiple of Numerators i.e. LCM of 45,90,362 is 16290.

GCF of Denominators means GCF of 468,989,708 as per the given fractions.

GCF of 468,989,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,90,362

LCM of Fractions 45/468,90/989,362/708 is 16290

2 45, 90, 362
3 45, 45, 181
3 15, 15, 181
5 5, 5, 181
1, 1, 181

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 181 = 16290

Least Common Multiple of 45,90,362 with GCF Formula

Least Common Multiple of 45,90,362 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 45,90,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,90,362) = 1

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

GCF(45,90,362) x common factors =1 x 90 = 90

LCM(45,90,362) = ( 45 × 90 × 362 ) / 90

LCM(45,90,362) = 1466100 / 90

LCM(45,90,362) = 16290


Lets's calculate GCF of 468,989,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16290/1

Therefore the LCM of Fractions 45/468,90/989,362/708 is 16290

Greatest Common Factor of 468,989,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,989,708 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 468,989,708 . The biggest common factor number is the GCF number.
So the greatest common factor 468,989,708 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 45/468, 90/989, 362/708

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 45/468, 90/989, 362/708?

Answer: LCM of Numerators as per given numbers 45/468, 90/989, 362/708 is

LCM of Numerators i.e. for 45,90,362 is 16290

GCF of denominators i.e. for 468,989,708 is 1.

Thus, LCM of Fractions is 16290.Finally, LCM of Fractions for 45/468, 90/989, 362/708 is 16290.