Least Common Multiple of 608/65, 944/3212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 608/65, 944/3212 quickly i.e. 35872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/65, 944/3212 is 35872.

LCM(608/65, 944/3212) = 35872

LCM of 608/65, 944/3212

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 608/65,944/3212

Given numbers are 608/65,944/3212

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 608,944

Least Common Multiple of Numerators i.e. LCM of 608,944 is 35872.

GCF of Denominators means GCF of 65,3212 as per the given fractions.

GCF of 65,3212 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,944

LCM of Fractions 608/65,944/3212 is 35872

2 608, 944
2 304, 472
2 152, 236
2 76, 118
38, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 38 x 59 = 35872

Least Common Multiple of 608,944 with GCF Formula

Least Common Multiple of 608,944 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 608,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,944) = 16

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

GCF(608,944) x common factors =16 x 1 = 16

LCM(608,944) = ( 608 × 944 ) / 16

LCM(608,944) = 573952 / 16

LCM(608,944) = 35872


Lets's calculate GCF of 65,3212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35872/1

Therefore the LCM of Fractions 608/65,944/3212 is 35872

Greatest Common Factor of 65,3212 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,3212 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 3212

List of positive integer factors of 3212 that divides 3212 without a remainder.

1,2,4,11,22,44,73,146,292,803,1606,3212

Greatest Common Factor

We found the factors 65,3212 . The biggest common factor number is the GCF number.
So the greatest common factor 65,3212 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 608/65, 944/3212

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 608/65, 944/3212?

Answer: LCM of Numerators as per given numbers 608/65, 944/3212 is

LCM of Numerators i.e. for 608,944 is 35872

GCF of denominators i.e. for 65,3212 is 1.

Thus, LCM of Fractions is 35872.Finally, LCM of Fractions for 608/65, 944/3212 is 35872.