Least Common Multiple of 1375/340, 7272/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1375/340, 7272/464 quickly i.e. 2499750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1375/340, 7272/464 is 2499750.

LCM(1375/340, 7272/464) = 2499750

LCM of 1375/340, 7272/464

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 1375/340,7272/464

Given numbers are 1375/340,7272/464

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 1375,7272

Least Common Multiple of Numerators i.e. LCM of 1375,7272 is 9999000.

GCF of Denominators means GCF of 340,464 as per the given fractions.

GCF of 340,464 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1375,7272

LCM of Fractions 1375/340,7272/464 is 2499750

Given numbers has no common factors except 1. So, there LCM is their product i.e 9999000

Least Common Multiple of 1375,7272 with GCF Formula

Least Common Multiple of 1375,7272 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 1375,7272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1375,7272) = 1

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

GCF(1375,7272) x common factors =1 x 1 = 1

LCM(1375,7272) = ( 1375 × 7272 ) / 1

LCM(1375,7272) = 9999000 / 1

LCM(1375,7272) = 9999000


Lets's calculate GCF of 340,464

2 340, 464
2 170, 232
85, 116

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9999000/4

Therefore the LCM of Fractions 1375/340,7272/464 is 2499750

Greatest Common Factor of 340,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,464 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 340,464 . The biggest common factor number is the GCF number.
So the greatest common factor 340,464 is 4.


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 1375/340, 7272/464

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 1375/340, 7272/464?

Answer: LCM of Numerators as per given numbers 1375/340, 7272/464 is

LCM of Numerators i.e. for 1375,7272 is 9999000

GCF of denominators i.e. for 340,464 is 4.

Thus, LCM of Fractions is 2499750.Finally, LCM of Fractions for 1375/340, 7272/464 is 2499750.