Least Common Multiple of 608/29, 303/78, 712/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 608/29, 303/78, 712/795 quickly i.e. 16395936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/29, 303/78, 712/795 is 16395936.

LCM(608/29, 303/78, 712/795) = 16395936

LCM of 608/29, 303/78, 712/795

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 608/29,303/78,712/795

Given numbers are 608/29,303/78,712/795

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 608,303,712

Least Common Multiple of Numerators i.e. LCM of 608,303,712 is 16395936.

GCF of Denominators means GCF of 29,78,795 as per the given fractions.

GCF of 29,78,795 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,303,712

LCM of Fractions 608/29,303/78,712/795 is 16395936

2 608, 303, 712
2 304, 303, 356
2 152, 303, 178
76, 303, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 303 x 89 = 16395936

Least Common Multiple of 608,303,712 with GCF Formula

Least Common Multiple of 608,303,712 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 608,303,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,303,712) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(608,303,712) x common factors =1 x 8 = 8

LCM(608,303,712) = ( 608 × 303 × 712 ) / 8

LCM(608,303,712) = 131167488 / 8

LCM(608,303,712) = 16395936


Lets's calculate GCF of 29,78,795

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16395936/1

Therefore the LCM of Fractions 608/29,303/78,712/795 is 16395936

Greatest Common Factor of 29,78,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,78,795 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 29,78,795 . The biggest common factor number is the GCF number.
So the greatest common factor 29,78,795 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 608/29, 303/78, 712/795

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 608/29, 303/78, 712/795?

Answer: LCM of Numerators as per given numbers 608/29, 303/78, 712/795 is

LCM of Numerators i.e. for 608,303,712 is 16395936

GCF of denominators i.e. for 29,78,795 is 1.

Thus, LCM of Fractions is 16395936.Finally, LCM of Fractions for 608/29, 303/78, 712/795 is 16395936.