Least Common Multiple of 416/94, 496/4018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 416/94, 496/4018 quickly i.e. 6448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 416/94, 496/4018 is 6448.

LCM(416/94, 496/4018) = 6448

LCM of 416/94, 496/4018

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 416/94,496/4018

Given numbers are 416/94,496/4018

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 416,496

Least Common Multiple of Numerators i.e. LCM of 416,496 is 12896.

GCF of Denominators means GCF of 94,4018 as per the given fractions.

GCF of 94,4018 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 416,496

LCM of Fractions 416/94,496/4018 is 6448

2 416, 496
2 208, 248
2 104, 124
2 52, 62
26, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 26 x 31 = 12896

Least Common Multiple of 416,496 with GCF Formula

Least Common Multiple of 416,496 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 416,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,496) = 16

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

GCF(416,496) x common factors =16 x 1 = 16

LCM(416,496) = ( 416 × 496 ) / 16

LCM(416,496) = 206336 / 16

LCM(416,496) = 12896


Lets's calculate GCF of 94,4018

2 94, 4018
47, 2009

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12896/2

Therefore the LCM of Fractions 416/94,496/4018 is 6448

Greatest Common Factor of 94,4018 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,4018 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1,2,7,14,41,49,82,98,287,574,2009,4018

Greatest Common Factor

We found the factors 94,4018 . The biggest common factor number is the GCF number.
So the greatest common factor 94,4018 is 2.


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Frequently Asked Questions on Fractional LCM of 416/94, 496/4018

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 416/94, 496/4018?

Answer: LCM of Numerators as per given numbers 416/94, 496/4018 is

LCM of Numerators i.e. for 416,496 is 12896

GCF of denominators i.e. for 94,4018 is 2.

Thus, LCM of Fractions is 6448.Finally, LCM of Fractions for 416/94, 496/4018 is 6448.