Least Common Multiple of 2920/513, 4416/2275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2920/513, 4416/2275 quickly i.e. 1611840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2920/513, 4416/2275 is 1611840.

LCM(2920/513, 4416/2275) = 1611840

LCM of 2920/513, 4416/2275

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 2920/513,4416/2275

Given numbers are 2920/513,4416/2275

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 2920,4416

Least Common Multiple of Numerators i.e. LCM of 2920,4416 is 1611840.

GCF of Denominators means GCF of 513,2275 as per the given fractions.

GCF of 513,2275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2920,4416

LCM of Fractions 2920/513,4416/2275 is 1611840

2 2920, 4416
2 1460, 2208
2 730, 1104
365, 552

∴ So the LCM of the given numbers is 2 x 2 x 2 x 365 x 552 = 1611840

Least Common Multiple of 2920,4416 with GCF Formula

Least Common Multiple of 2920,4416 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 2920,4416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2920,4416) = 8

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

GCF(2920,4416) x common factors =8 x 1 = 8

LCM(2920,4416) = ( 2920 × 4416 ) / 8

LCM(2920,4416) = 12894720 / 8

LCM(2920,4416) = 1611840


Lets's calculate GCF of 513,2275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1611840/1

Therefore the LCM of Fractions 2920/513,4416/2275 is 1611840

Greatest Common Factor of 513,2275 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,2275 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 2275

List of positive integer factors of 2275 that divides 2275 without a remainder.

1,5,7,13,25,35,65,91,175,325,455,2275

Greatest Common Factor

We found the factors 513,2275 . The biggest common factor number is the GCF number.
So the greatest common factor 513,2275 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 2920/513, 4416/2275

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 2920/513, 4416/2275?

Answer: LCM of Numerators as per given numbers 2920/513, 4416/2275 is

LCM of Numerators i.e. for 2920,4416 is 1611840

GCF of denominators i.e. for 513,2275 is 1.

Thus, LCM of Fractions is 1611840.Finally, LCM of Fractions for 2920/513, 4416/2275 is 1611840.