Least Common Multiple of 3345/282, 7755/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3345/282, 7755/680 quickly i.e. 1729365/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3345/282, 7755/680 is 1729365/2.

LCM(3345/282, 7755/680) = 1729365/2

LCM of 3345/282, 7755/680

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 3345/282,7755/680

Given numbers are 3345/282,7755/680

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 3345,7755

Least Common Multiple of Numerators i.e. LCM of 3345,7755 is 1729365.

GCF of Denominators means GCF of 282,680 as per the given fractions.

GCF of 282,680 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3345,7755

LCM of Fractions 3345/282,7755/680 is 1729365/2

3 3345, 7755
5 1115, 2585
223, 517

∴ So the LCM of the given numbers is 3 x 5 x 223 x 517 = 1729365

Least Common Multiple of 3345,7755 with GCF Formula

Least Common Multiple of 3345,7755 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 3345,7755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3345,7755) = 15

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

GCF(3345,7755) x common factors =15 x 1 = 15

LCM(3345,7755) = ( 3345 × 7755 ) / 15

LCM(3345,7755) = 25940475 / 15

LCM(3345,7755) = 1729365


Lets's calculate GCF of 282,680

2 282, 680
141, 340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1729365/2

Therefore the LCM of Fractions 3345/282,7755/680 is 1729365/2

Greatest Common Factor of 282,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,680 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 282,680 . The biggest common factor number is the GCF number.
So the greatest common factor 282,680 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3345/282, 7755/680

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 3345/282, 7755/680?

Answer: LCM of Numerators as per given numbers 3345/282, 7755/680 is

LCM of Numerators i.e. for 3345,7755 is 1729365

GCF of denominators i.e. for 282,680 is 2.

Thus, LCM of Fractions is 1729365/2.Finally, LCM of Fractions for 3345/282, 7755/680 is 1729365/2.