Least Common Multiple of 777/222, 540/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 777/222, 540/560 quickly i.e. 69930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/222, 540/560 is 69930.

LCM(777/222, 540/560) = 69930

LCM of 777/222, 540/560

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 777/222,540/560

Given numbers are 777/222,540/560

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 777,540

Least Common Multiple of Numerators i.e. LCM of 777,540 is 139860.

GCF of Denominators means GCF of 222,560 as per the given fractions.

GCF of 222,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,540

LCM of Fractions 777/222,540/560 is 69930

3 777, 540
259, 180

∴ So the LCM of the given numbers is 3 x 259 x 180 = 139860

Least Common Multiple of 777,540 with GCF Formula

Least Common Multiple of 777,540 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 777,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,540) = 3

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

GCF(777,540) x common factors =3 x 1 = 3

LCM(777,540) = ( 777 × 540 ) / 3

LCM(777,540) = 419580 / 3

LCM(777,540) = 139860


Lets's calculate GCF of 222,560

2 222, 560
111, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139860/2

Therefore the LCM of Fractions 777/222,540/560 is 69930

Greatest Common Factor of 222,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,560 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 222,560 . The biggest common factor number is the GCF number.
So the greatest common factor 222,560 is 2.


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 777/222, 540/560

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 777/222, 540/560?

Answer: LCM of Numerators as per given numbers 777/222, 540/560 is

LCM of Numerators i.e. for 777,540 is 139860

GCF of denominators i.e. for 222,560 is 2.

Thus, LCM of Fractions is 69930.Finally, LCM of Fractions for 777/222, 540/560 is 69930.