Least Common Multiple of 772/24, 967/87, 560/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/24, 967/87, 560/343 quickly i.e. 104513360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/24, 967/87, 560/343 is 104513360.

LCM(772/24, 967/87, 560/343) = 104513360

LCM of 772/24, 967/87, 560/343

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 772/24,967/87,560/343

Given numbers are 772/24,967/87,560/343

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 772,967,560

Least Common Multiple of Numerators i.e. LCM of 772,967,560 is 104513360.

GCF of Denominators means GCF of 24,87,343 as per the given fractions.

GCF of 24,87,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,967,560

LCM of Fractions 772/24,967/87,560/343 is 104513360

2 772, 967, 560
2 386, 967, 280
193, 967, 140

∴ So the LCM of the given numbers is 2 x 2 x 193 x 967 x 140 = 104513360

Least Common Multiple of 772,967,560 with GCF Formula

Least Common Multiple of 772,967,560 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 772,967,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,967,560) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(772,967,560) x common factors =1 x 4 = 4

LCM(772,967,560) = ( 772 × 967 × 560 ) / 4

LCM(772,967,560) = 418053440 / 4

LCM(772,967,560) = 104513360


Lets's calculate GCF of 24,87,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104513360/1

Therefore the LCM of Fractions 772/24,967/87,560/343 is 104513360

Greatest Common Factor of 24,87,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,87,343 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 24,87,343 . The biggest common factor number is the GCF number.
So the greatest common factor 24,87,343 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 772/24, 967/87, 560/343

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 772/24, 967/87, 560/343?

Answer: LCM of Numerators as per given numbers 772/24, 967/87, 560/343 is

LCM of Numerators i.e. for 772,967,560 is 104513360

GCF of denominators i.e. for 24,87,343 is 1.

Thus, LCM of Fractions is 104513360.Finally, LCM of Fractions for 772/24, 967/87, 560/343 is 104513360.