Least Common Multiple of 74/417, 6080/4994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 74/417, 6080/4994 quickly i.e. 224960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/417, 6080/4994 is 224960.

LCM(74/417, 6080/4994) = 224960

LCM of 74/417, 6080/4994

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 74/417,6080/4994

Given numbers are 74/417,6080/4994

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 74,6080

Least Common Multiple of Numerators i.e. LCM of 74,6080 is 224960.

GCF of Denominators means GCF of 417,4994 as per the given fractions.

GCF of 417,4994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,6080

LCM of Fractions 74/417,6080/4994 is 224960

2 74, 6080
37, 3040

∴ So the LCM of the given numbers is 2 x 37 x 3040 = 224960

Least Common Multiple of 74,6080 with GCF Formula

Least Common Multiple of 74,6080 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 74,6080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,6080) = 2

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

GCF(74,6080) x common factors =2 x 1 = 2

LCM(74,6080) = ( 74 × 6080 ) / 2

LCM(74,6080) = 449920 / 2

LCM(74,6080) = 224960


Lets's calculate GCF of 417,4994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224960/1

Therefore the LCM of Fractions 74/417,6080/4994 is 224960

Greatest Common Factor of 417,4994 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,4994 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 4994

List of positive integer factors of 4994 that divides 4994 without a remainder.

1,2,11,22,227,454,2497,4994

Greatest Common Factor

We found the factors 417,4994 . The biggest common factor number is the GCF number.
So the greatest common factor 417,4994 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 74/417, 6080/4994

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 74/417, 6080/4994?

Answer: LCM of Numerators as per given numbers 74/417, 6080/4994 is

LCM of Numerators i.e. for 74,6080 is 224960

GCF of denominators i.e. for 417,4994 is 1.

Thus, LCM of Fractions is 224960.Finally, LCM of Fractions for 74/417, 6080/4994 is 224960.