Least Common Multiple of 1440/790, 9272/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1440/790, 9272/550 quickly i.e. 166896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1440/790, 9272/550 is 166896.

LCM(1440/790, 9272/550) = 166896

LCM of 1440/790, 9272/550

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 1440/790,9272/550

Given numbers are 1440/790,9272/550

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 1440,9272

Least Common Multiple of Numerators i.e. LCM of 1440,9272 is 1668960.

GCF of Denominators means GCF of 790,550 as per the given fractions.

GCF of 790,550 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1440,9272

LCM of Fractions 1440/790,9272/550 is 166896

2 1440, 9272
2 720, 4636
2 360, 2318
180, 1159

∴ So the LCM of the given numbers is 2 x 2 x 2 x 180 x 1159 = 1668960

Least Common Multiple of 1440,9272 with GCF Formula

Least Common Multiple of 1440,9272 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 1440,9272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1440,9272) = 8

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

GCF(1440,9272) x common factors =8 x 1 = 8

LCM(1440,9272) = ( 1440 × 9272 ) / 8

LCM(1440,9272) = 13351680 / 8

LCM(1440,9272) = 1668960


Lets's calculate GCF of 790,550

2 790, 550
5 395, 275
79, 55

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1668960/10

Therefore the LCM of Fractions 1440/790,9272/550 is 166896

Greatest Common Factor of 790,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,550 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 790,550 . The biggest common factor number is the GCF number.
So the greatest common factor 790,550 is 10.


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 1440/790, 9272/550

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 1440/790, 9272/550?

Answer: LCM of Numerators as per given numbers 1440/790, 9272/550 is

LCM of Numerators i.e. for 1440,9272 is 1668960

GCF of denominators i.e. for 790,550 is 10.

Thus, LCM of Fractions is 166896.Finally, LCM of Fractions for 1440/790, 9272/550 is 166896.