Least Common Multiple of 3417/924, 1102/3282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3417/924, 1102/3282 quickly i.e. 627589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3417/924, 1102/3282 is 627589.

LCM(3417/924, 1102/3282) = 627589

LCM of 3417/924, 1102/3282

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 3417/924,1102/3282

Given numbers are 3417/924,1102/3282

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 3417,1102

Least Common Multiple of Numerators i.e. LCM of 3417,1102 is 3765534.

GCF of Denominators means GCF of 924,3282 as per the given fractions.

GCF of 924,3282 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3417,1102

LCM of Fractions 3417/924,1102/3282 is 627589

Given numbers has no common factors except 1. So, there LCM is their product i.e 3765534

Least Common Multiple of 3417,1102 with GCF Formula

Least Common Multiple of 3417,1102 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 3417,1102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3417,1102) = 1

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

GCF(3417,1102) x common factors =1 x 1 = 1

LCM(3417,1102) = ( 3417 × 1102 ) / 1

LCM(3417,1102) = 3765534 / 1

LCM(3417,1102) = 3765534


Lets's calculate GCF of 924,3282

2 924, 3282
3 462, 1641
154, 547

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3765534/6

Therefore the LCM of Fractions 3417/924,1102/3282 is 627589

Greatest Common Factor of 924,3282 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,3282 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 3282

List of positive integer factors of 3282 that divides 3282 without a remainder.

1,2,3,6,547,1094,1641,3282

Greatest Common Factor

We found the factors 924,3282 . The biggest common factor number is the GCF number.
So the greatest common factor 924,3282 is 6.


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 3417/924, 1102/3282

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 3417/924, 1102/3282?

Answer: LCM of Numerators as per given numbers 3417/924, 1102/3282 is

LCM of Numerators i.e. for 3417,1102 is 3765534

GCF of denominators i.e. for 924,3282 is 6.

Thus, LCM of Fractions is 627589.Finally, LCM of Fractions for 3417/924, 1102/3282 is 627589.