Least Common Multiple of 864/608, 5406/5320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/608, 5406/5320 quickly i.e. 778464/152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/608, 5406/5320 is 778464/152.

LCM(864/608, 5406/5320) = 778464/152

LCM of 864/608, 5406/5320

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 864/608,5406/5320

Given numbers are 864/608,5406/5320

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 864,5406

Least Common Multiple of Numerators i.e. LCM of 864,5406 is 778464.

GCF of Denominators means GCF of 608,5320 as per the given fractions.

GCF of 608,5320 is 152 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,5406

LCM of Fractions 864/608,5406/5320 is 778464/152

2 864, 5406
3 432, 2703
144, 901

∴ So the LCM of the given numbers is 2 x 3 x 144 x 901 = 778464

Least Common Multiple of 864,5406 with GCF Formula

Least Common Multiple of 864,5406 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 864,5406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,5406) = 6

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

GCF(864,5406) x common factors =6 x 1 = 6

LCM(864,5406) = ( 864 × 5406 ) / 6

LCM(864,5406) = 4670784 / 6

LCM(864,5406) = 778464


Lets's calculate GCF of 608,5320

2 608, 5320
2 304, 2660
2 152, 1330
19 76, 665
4, 35

∴ So the GCF of the given numbers is 2 x 2 x 2 x 19 = 152

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 778464/152

Therefore the LCM of Fractions 864/608,5406/5320 is 778464/152

Greatest Common Factor of 608,5320 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,5320 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320

Greatest Common Factor

We found the factors 608,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 608,5320 is 152.


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 864/608, 5406/5320

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 864/608, 5406/5320?

Answer: LCM of Numerators as per given numbers 864/608, 5406/5320 is

LCM of Numerators i.e. for 864,5406 is 778464

GCF of denominators i.e. for 608,5320 is 152.

Thus, LCM of Fractions is 778464/152.Finally, LCM of Fractions for 864/608, 5406/5320 is 778464/152.