Least Common Multiple of 772/68, 560/9884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/68, 560/9884 quickly i.e. 27020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/68, 560/9884 is 27020.

LCM(772/68, 560/9884) = 27020

LCM of 772/68, 560/9884

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 772/68,560/9884

Given numbers are 772/68,560/9884

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 772,560

Least Common Multiple of Numerators i.e. LCM of 772,560 is 108080.

GCF of Denominators means GCF of 68,9884 as per the given fractions.

GCF of 68,9884 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,560

LCM of Fractions 772/68,560/9884 is 27020

2 772, 560
2 386, 280
193, 140

∴ So the LCM of the given numbers is 2 x 2 x 193 x 140 = 108080

Least Common Multiple of 772,560 with GCF Formula

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

GCF(772,560) = 4

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

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

LCM(772,560) = ( 772 × 560 ) / 4

LCM(772,560) = 432320 / 4

LCM(772,560) = 108080


Lets's calculate GCF of 68,9884

2 68, 9884
2 34, 4942
17, 2471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108080/4

Therefore the LCM of Fractions 772/68,560/9884 is 27020

Greatest Common Factor of 68,9884 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,9884 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1,2,4,7,14,28,353,706,1412,2471,4942,9884

Greatest Common Factor

We found the factors 68,9884 . The biggest common factor number is the GCF number.
So the greatest common factor 68,9884 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 772/68, 560/9884

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 772/68, 560/9884?

Answer: LCM of Numerators as per given numbers 772/68, 560/9884 is

LCM of Numerators i.e. for 772,560 is 108080

GCF of denominators i.e. for 68,9884 is 4.

Thus, LCM of Fractions is 27020.Finally, LCM of Fractions for 772/68, 560/9884 is 27020.