Least Common Multiple of 3263/359, 3779/7461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3263/359, 3779/7461 quickly i.e. 12330877 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3263/359, 3779/7461 is 12330877.

LCM(3263/359, 3779/7461) = 12330877

LCM of 3263/359, 3779/7461

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 3263/359,3779/7461

Given numbers are 3263/359,3779/7461

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 3263,3779

Least Common Multiple of Numerators i.e. LCM of 3263,3779 is 12330877.

GCF of Denominators means GCF of 359,7461 as per the given fractions.

GCF of 359,7461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3263,3779

LCM of Fractions 3263/359,3779/7461 is 12330877

Given numbers has no common factors except 1. So, there LCM is their product i.e 12330877

Least Common Multiple of 3263,3779 with GCF Formula

Least Common Multiple of 3263,3779 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 3263,3779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3263,3779) = 1

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

GCF(3263,3779) x common factors =1 x 1 = 1

LCM(3263,3779) = ( 3263 × 3779 ) / 1

LCM(3263,3779) = 12330877 / 1

LCM(3263,3779) = 12330877


Lets's calculate GCF of 359,7461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12330877/1

Therefore the LCM of Fractions 3263/359,3779/7461 is 12330877

Greatest Common Factor of 359,7461 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,7461 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 7461

List of positive integer factors of 7461 that divides 7461 without a remainder.

1,3,9,829,2487,7461

Greatest Common Factor

We found the factors 359,7461 . The biggest common factor number is the GCF number.
So the greatest common factor 359,7461 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3263/359, 3779/7461

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 3263/359, 3779/7461?

Answer: LCM of Numerators as per given numbers 3263/359, 3779/7461 is

LCM of Numerators i.e. for 3263,3779 is 12330877

GCF of denominators i.e. for 359,7461 is 1.

Thus, LCM of Fractions is 12330877.Finally, LCM of Fractions for 3263/359, 3779/7461 is 12330877.