Least Common Multiple of 3362/919, 3560/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3362/919, 3560/274 quickly i.e. 5984360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3362/919, 3560/274 is 5984360.

LCM(3362/919, 3560/274) = 5984360

LCM of 3362/919, 3560/274

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 3362/919,3560/274

Given numbers are 3362/919,3560/274

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 3362,3560

Least Common Multiple of Numerators i.e. LCM of 3362,3560 is 5984360.

GCF of Denominators means GCF of 919,274 as per the given fractions.

GCF of 919,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3362,3560

LCM of Fractions 3362/919,3560/274 is 5984360

2 3362, 3560
1681, 1780

∴ So the LCM of the given numbers is 2 x 1681 x 1780 = 5984360

Least Common Multiple of 3362,3560 with GCF Formula

Least Common Multiple of 3362,3560 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 3362,3560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3362,3560) = 2

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

GCF(3362,3560) x common factors =2 x 1 = 2

LCM(3362,3560) = ( 3362 × 3560 ) / 2

LCM(3362,3560) = 11968720 / 2

LCM(3362,3560) = 5984360


Lets's calculate GCF of 919,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5984360/1

Therefore the LCM of Fractions 3362/919,3560/274 is 5984360

Greatest Common Factor of 919,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,274 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 919,274 . The biggest common factor number is the GCF number.
So the greatest common factor 919,274 is 1.


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 3362/919, 3560/274

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 3362/919, 3560/274?

Answer: LCM of Numerators as per given numbers 3362/919, 3560/274 is

LCM of Numerators i.e. for 3362,3560 is 5984360

GCF of denominators i.e. for 919,274 is 1.

Thus, LCM of Fractions is 5984360.Finally, LCM of Fractions for 3362/919, 3560/274 is 5984360.