Least Common Multiple of 3350/623, 7614/2321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3350/623, 7614/2321 quickly i.e. 12753450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3350/623, 7614/2321 is 12753450.

LCM(3350/623, 7614/2321) = 12753450

LCM of 3350/623, 7614/2321

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 3350/623,7614/2321

Given numbers are 3350/623,7614/2321

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 3350,7614

Least Common Multiple of Numerators i.e. LCM of 3350,7614 is 12753450.

GCF of Denominators means GCF of 623,2321 as per the given fractions.

GCF of 623,2321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3350,7614

LCM of Fractions 3350/623,7614/2321 is 12753450

2 3350, 7614
1675, 3807

∴ So the LCM of the given numbers is 2 x 1675 x 3807 = 12753450

Least Common Multiple of 3350,7614 with GCF Formula

Least Common Multiple of 3350,7614 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 3350,7614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3350,7614) = 2

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

GCF(3350,7614) x common factors =2 x 1 = 2

LCM(3350,7614) = ( 3350 × 7614 ) / 2

LCM(3350,7614) = 25506900 / 2

LCM(3350,7614) = 12753450


Lets's calculate GCF of 623,2321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12753450/1

Therefore the LCM of Fractions 3350/623,7614/2321 is 12753450

Greatest Common Factor of 623,2321 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,2321 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 2321

List of positive integer factors of 2321 that divides 2321 without a remainder.

1,11,211,2321

Greatest Common Factor

We found the factors 623,2321 . The biggest common factor number is the GCF number.
So the greatest common factor 623,2321 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3350/623, 7614/2321

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 3350/623, 7614/2321?

Answer: LCM of Numerators as per given numbers 3350/623, 7614/2321 is

LCM of Numerators i.e. for 3350,7614 is 12753450

GCF of denominators i.e. for 623,2321 is 1.

Thus, LCM of Fractions is 12753450.Finally, LCM of Fractions for 3350/623, 7614/2321 is 12753450.