Least Common Multiple of 35/704, 34/496, 204/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/704, 34/496, 204/125 quickly i.e. 7140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/704, 34/496, 204/125 is 7140.

LCM(35/704, 34/496, 204/125) = 7140

LCM of 35/704, 34/496, 204/125

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 35/704,34/496,204/125

Given numbers are 35/704,34/496,204/125

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 35,34,204

Least Common Multiple of Numerators i.e. LCM of 35,34,204 is 7140.

GCF of Denominators means GCF of 704,496,125 as per the given fractions.

GCF of 704,496,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,34,204

LCM of Fractions 35/704,34/496,204/125 is 7140

2 35, 34, 204
17 35, 17, 102
35, 1, 6

∴ So the LCM of the given numbers is 2 x 17 x 35 x 1 x 6 = 7140

Least Common Multiple of 35,34,204 with GCF Formula

Least Common Multiple of 35,34,204 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 35,34,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,34,204) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(35,34,204) x common factors =1 x 34 = 34

LCM(35,34,204) = ( 35 × 34 × 204 ) / 34

LCM(35,34,204) = 242760 / 34

LCM(35,34,204) = 7140


Lets's calculate GCF of 704,496,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7140/1

Therefore the LCM of Fractions 35/704,34/496,204/125 is 7140

Greatest Common Factor of 704,496,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,496,125 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 704,496,125 . The biggest common factor number is the GCF number.
So the greatest common factor 704,496,125 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 35/704, 34/496, 204/125

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 35/704, 34/496, 204/125?

Answer: LCM of Numerators as per given numbers 35/704, 34/496, 204/125 is

LCM of Numerators i.e. for 35,34,204 is 7140

GCF of denominators i.e. for 704,496,125 is 1.

Thus, LCM of Fractions is 7140.Finally, LCM of Fractions for 35/704, 34/496, 204/125 is 7140.