Least Common Multiple of 1517/608, 3034/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1517/608, 3034/477 quickly i.e. 3034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1517/608, 3034/477 is 3034.

LCM(1517/608, 3034/477) = 3034

LCM of 1517/608, 3034/477

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 1517/608,3034/477

Given numbers are 1517/608,3034/477

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 1517,3034

Least Common Multiple of Numerators i.e. LCM of 1517,3034 is 3034.

GCF of Denominators means GCF of 608,477 as per the given fractions.

GCF of 608,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1517,3034

LCM of Fractions 1517/608,3034/477 is 3034

37 1517, 3034
41 41, 82
1, 2

∴ So the LCM of the given numbers is 37 x 41 x 1 x 2 = 3034

Least Common Multiple of 1517,3034 with GCF Formula

Least Common Multiple of 1517,3034 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 1517,3034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1517,3034) = 1517

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

GCF(1517,3034) x common factors =1517 x 1 = 1517

LCM(1517,3034) = ( 1517 × 3034 ) / 1517

LCM(1517,3034) = 4602578 / 1517

LCM(1517,3034) = 3034


Lets's calculate GCF of 608,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3034/1

Therefore the LCM of Fractions 1517/608,3034/477 is 3034

Greatest Common Factor of 608,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,477 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 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 608,477 . The biggest common factor number is the GCF number.
So the greatest common factor 608,477 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1517/608, 3034/477

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 1517/608, 3034/477?

Answer: LCM of Numerators as per given numbers 1517/608, 3034/477 is

LCM of Numerators i.e. for 1517,3034 is 3034

GCF of denominators i.e. for 608,477 is 1.

Thus, LCM of Fractions is 3034.Finally, LCM of Fractions for 1517/608, 3034/477 is 3034.