Least Common Multiple of 15/763, 344/438, 448/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/763, 344/438, 448/944 quickly i.e. 288960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/763, 344/438, 448/944 is 288960.

LCM(15/763, 344/438, 448/944) = 288960

LCM of 15/763, 344/438, 448/944

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 15/763,344/438,448/944

Given numbers are 15/763,344/438,448/944

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 15,344,448

Least Common Multiple of Numerators i.e. LCM of 15,344,448 is 288960.

GCF of Denominators means GCF of 763,438,944 as per the given fractions.

GCF of 763,438,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,344,448

LCM of Fractions 15/763,344/438,448/944 is 288960

2 15, 344, 448
2 15, 172, 224
2 15, 86, 112
15, 43, 56

∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 43 x 56 = 288960

Least Common Multiple of 15,344,448 with GCF Formula

Least Common Multiple of 15,344,448 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 15,344,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,344,448) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(15,344,448) x common factors =1 x 8 = 8

LCM(15,344,448) = ( 15 × 344 × 448 ) / 8

LCM(15,344,448) = 2311680 / 8

LCM(15,344,448) = 288960


Lets's calculate GCF of 763,438,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288960/1

Therefore the LCM of Fractions 15/763,344/438,448/944 is 288960

Greatest Common Factor of 763,438,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,438,944 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 763,438,944 . The biggest common factor number is the GCF number.
So the greatest common factor 763,438,944 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 15/763, 344/438, 448/944

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 15/763, 344/438, 448/944?

Answer: LCM of Numerators as per given numbers 15/763, 344/438, 448/944 is

LCM of Numerators i.e. for 15,344,448 is 288960

GCF of denominators i.e. for 763,438,944 is 1.

Thus, LCM of Fractions is 288960.Finally, LCM of Fractions for 15/763, 344/438, 448/944 is 288960.