Least Common Multiple of 78/65, 222/55, 480/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/65, 222/55, 480/345 quickly i.e. 46176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/65, 222/55, 480/345 is 46176.

LCM(78/65, 222/55, 480/345) = 46176

LCM of 78/65, 222/55, 480/345

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 78/65,222/55,480/345

Given numbers are 78/65,222/55,480/345

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 78,222,480

Least Common Multiple of Numerators i.e. LCM of 78,222,480 is 230880.

GCF of Denominators means GCF of 65,55,345 as per the given fractions.

GCF of 65,55,345 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,222,480

LCM of Fractions 78/65,222/55,480/345 is 46176

2 78, 222, 480
3 39, 111, 240
13, 37, 80

∴ So the LCM of the given numbers is 2 x 3 x 13 x 37 x 80 = 230880

Least Common Multiple of 78,222,480 with GCF Formula

Least Common Multiple of 78,222,480 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 78,222,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,222,480) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(78,222,480) x common factors =6 x 6 = 36

LCM(78,222,480) = ( 78 × 222 × 480 ) / 36

LCM(78,222,480) = 8311680 / 36

LCM(78,222,480) = 230880


Lets's calculate GCF of 65,55,345

5 65, 55, 345
13, 11, 69

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230880/5

Therefore the LCM of Fractions 78/65,222/55,480/345 is 46176

Greatest Common Factor of 65,55,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,55,345 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 65,55,345 . The biggest common factor number is the GCF number.
So the greatest common factor 65,55,345 is 5.


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 78/65, 222/55, 480/345

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 78/65, 222/55, 480/345?

Answer: LCM of Numerators as per given numbers 78/65, 222/55, 480/345 is

LCM of Numerators i.e. for 78,222,480 is 230880

GCF of denominators i.e. for 65,55,345 is 5.

Thus, LCM of Fractions is 46176.Finally, LCM of Fractions for 78/65, 222/55, 480/345 is 46176.