Least Common Multiple of 696/466, 1595/3348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/466, 1595/3348 quickly i.e. 19140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/466, 1595/3348 is 19140.

LCM(696/466, 1595/3348) = 19140

LCM of 696/466, 1595/3348

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 696/466,1595/3348

Given numbers are 696/466,1595/3348

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 696,1595

Least Common Multiple of Numerators i.e. LCM of 696,1595 is 38280.

GCF of Denominators means GCF of 466,3348 as per the given fractions.

GCF of 466,3348 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,1595

LCM of Fractions 696/466,1595/3348 is 19140

29 696, 1595
24, 55

∴ So the LCM of the given numbers is 29 x 24 x 55 = 38280

Least Common Multiple of 696,1595 with GCF Formula

Least Common Multiple of 696,1595 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 696,1595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,1595) = 29

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

GCF(696,1595) x common factors =29 x 1 = 29

LCM(696,1595) = ( 696 × 1595 ) / 29

LCM(696,1595) = 1110120 / 29

LCM(696,1595) = 38280


Lets's calculate GCF of 466,3348

2 466, 3348
233, 1674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38280/2

Therefore the LCM of Fractions 696/466,1595/3348 is 19140

Greatest Common Factor of 466,3348 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,3348 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 3348

List of positive integer factors of 3348 that divides 3348 without a remainder.

1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348

Greatest Common Factor

We found the factors 466,3348 . The biggest common factor number is the GCF number.
So the greatest common factor 466,3348 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 696/466, 1595/3348

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 696/466, 1595/3348?

Answer: LCM of Numerators as per given numbers 696/466, 1595/3348 is

LCM of Numerators i.e. for 696,1595 is 38280

GCF of denominators i.e. for 466,3348 is 2.

Thus, LCM of Fractions is 19140.Finally, LCM of Fractions for 696/466, 1595/3348 is 19140.