Least Common Multiple of 4616/385, 7101/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4616/385, 7101/669 quickly i.e. 32778216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4616/385, 7101/669 is 32778216.

LCM(4616/385, 7101/669) = 32778216

LCM of 4616/385, 7101/669

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 4616/385,7101/669

Given numbers are 4616/385,7101/669

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 4616,7101

Least Common Multiple of Numerators i.e. LCM of 4616,7101 is 32778216.

GCF of Denominators means GCF of 385,669 as per the given fractions.

GCF of 385,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4616,7101

LCM of Fractions 4616/385,7101/669 is 32778216

Given numbers has no common factors except 1. So, there LCM is their product i.e 32778216

Least Common Multiple of 4616,7101 with GCF Formula

Least Common Multiple of 4616,7101 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 4616,7101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4616,7101) = 1

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

GCF(4616,7101) x common factors =1 x 1 = 1

LCM(4616,7101) = ( 4616 × 7101 ) / 1

LCM(4616,7101) = 32778216 / 1

LCM(4616,7101) = 32778216


Lets's calculate GCF of 385,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32778216/1

Therefore the LCM of Fractions 4616/385,7101/669 is 32778216

Greatest Common Factor of 385,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,669 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 385,669 . The biggest common factor number is the GCF number.
So the greatest common factor 385,669 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4616/385, 7101/669

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 4616/385, 7101/669?

Answer: LCM of Numerators as per given numbers 4616/385, 7101/669 is

LCM of Numerators i.e. for 4616,7101 is 32778216

GCF of denominators i.e. for 385,669 is 1.

Thus, LCM of Fractions is 32778216.Finally, LCM of Fractions for 4616/385, 7101/669 is 32778216.