Least Common Multiple of 3322/414, 4895/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3322/414, 4895/692 quickly i.e. 739145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3322/414, 4895/692 is 739145.

LCM(3322/414, 4895/692) = 739145

LCM of 3322/414, 4895/692

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 3322/414,4895/692

Given numbers are 3322/414,4895/692

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 3322,4895

Least Common Multiple of Numerators i.e. LCM of 3322,4895 is 1478290.

GCF of Denominators means GCF of 414,692 as per the given fractions.

GCF of 414,692 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3322,4895

LCM of Fractions 3322/414,4895/692 is 739145

11 3322, 4895
302, 445

∴ So the LCM of the given numbers is 11 x 302 x 445 = 1478290

Least Common Multiple of 3322,4895 with GCF Formula

Least Common Multiple of 3322,4895 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 3322,4895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3322,4895) = 11

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

GCF(3322,4895) x common factors =11 x 1 = 11

LCM(3322,4895) = ( 3322 × 4895 ) / 11

LCM(3322,4895) = 16261190 / 11

LCM(3322,4895) = 1478290


Lets's calculate GCF of 414,692

2 414, 692
207, 346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1478290/2

Therefore the LCM of Fractions 3322/414,4895/692 is 739145

Greatest Common Factor of 414,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,692 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 414,692 . The biggest common factor number is the GCF number.
So the greatest common factor 414,692 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 3322/414, 4895/692

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 3322/414, 4895/692?

Answer: LCM of Numerators as per given numbers 3322/414, 4895/692 is

LCM of Numerators i.e. for 3322,4895 is 1478290

GCF of denominators i.e. for 414,692 is 2.

Thus, LCM of Fractions is 739145.Finally, LCM of Fractions for 3322/414, 4895/692 is 739145.