Least Common Multiple of 350/655, 296/640, 392/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 350/655, 296/640, 392/194 quickly i.e. 362600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 350/655, 296/640, 392/194 is 362600.

LCM(350/655, 296/640, 392/194) = 362600

LCM of 350/655, 296/640, 392/194

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 350/655,296/640,392/194

Given numbers are 350/655,296/640,392/194

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 350,296,392

Least Common Multiple of Numerators i.e. LCM of 350,296,392 is 362600.

GCF of Denominators means GCF of 655,640,194 as per the given fractions.

GCF of 655,640,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 350,296,392

LCM of Fractions 350/655,296/640,392/194 is 362600

2 350, 296, 392
2 175, 148, 196
2 175, 74, 98
7 175, 37, 49
25, 37, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 25 x 37 x 7 = 362600

Least Common Multiple of 350,296,392 with GCF Formula

Least Common Multiple of 350,296,392 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 350,296,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,296,392) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(350,296,392) x common factors =2 x 56 = 112

LCM(350,296,392) = ( 350 × 296 × 392 ) / 112

LCM(350,296,392) = 40611200 / 112

LCM(350,296,392) = 362600


Lets's calculate GCF of 655,640,194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362600/1

Therefore the LCM of Fractions 350/655,296/640,392/194 is 362600

Greatest Common Factor of 655,640,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,640,194 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 655,640,194 . The biggest common factor number is the GCF number.
So the greatest common factor 655,640,194 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 350/655, 296/640, 392/194

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 350/655, 296/640, 392/194?

Answer: LCM of Numerators as per given numbers 350/655, 296/640, 392/194 is

LCM of Numerators i.e. for 350,296,392 is 362600

GCF of denominators i.e. for 655,640,194 is 1.

Thus, LCM of Fractions is 362600.Finally, LCM of Fractions for 350/655, 296/640, 392/194 is 362600.