Least Common Multiple of 918/720, 6422/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/720, 6422/450 quickly i.e. 2947698/90 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/720, 6422/450 is 2947698/90.

LCM(918/720, 6422/450) = 2947698/90

LCM of 918/720, 6422/450

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 918/720,6422/450

Given numbers are 918/720,6422/450

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 918,6422

Least Common Multiple of Numerators i.e. LCM of 918,6422 is 2947698.

GCF of Denominators means GCF of 720,450 as per the given fractions.

GCF of 720,450 is 90 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,6422

LCM of Fractions 918/720,6422/450 is 2947698/90

2 918, 6422
459, 3211

∴ So the LCM of the given numbers is 2 x 459 x 3211 = 2947698

Least Common Multiple of 918,6422 with GCF Formula

Least Common Multiple of 918,6422 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 918,6422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,6422) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(918,6422) x common factors =2 x 1 = 2

LCM(918,6422) = ( 918 × 6422 ) / 2

LCM(918,6422) = 5895396 / 2

LCM(918,6422) = 2947698


Lets's calculate GCF of 720,450

2 720, 450
3 360, 225
3 120, 75
5 40, 25
8, 5

∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 = 90

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2947698/90

Therefore the LCM of Fractions 918/720,6422/450 is 2947698/90

Greatest Common Factor of 720,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,450 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 720,450 . The biggest common factor number is the GCF number.
So the greatest common factor 720,450 is 90.


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 918/720, 6422/450

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 918/720, 6422/450?

Answer: LCM of Numerators as per given numbers 918/720, 6422/450 is

LCM of Numerators i.e. for 918,6422 is 2947698

GCF of denominators i.e. for 720,450 is 90.

Thus, LCM of Fractions is 2947698/90.Finally, LCM of Fractions for 918/720, 6422/450 is 2947698/90.