Least Common Multiple of 705/100, 3596/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/100, 3596/146 quickly i.e. 1267590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/100, 3596/146 is 1267590.

LCM(705/100, 3596/146) = 1267590

LCM of 705/100, 3596/146

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 705/100,3596/146

Given numbers are 705/100,3596/146

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 705,3596

Least Common Multiple of Numerators i.e. LCM of 705,3596 is 2535180.

GCF of Denominators means GCF of 100,146 as per the given fractions.

GCF of 100,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,3596

LCM of Fractions 705/100,3596/146 is 1267590

Given numbers has no common factors except 1. So, there LCM is their product i.e 2535180

Least Common Multiple of 705,3596 with GCF Formula

Least Common Multiple of 705,3596 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 705,3596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,3596) = 1

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

GCF(705,3596) x common factors =1 x 1 = 1

LCM(705,3596) = ( 705 × 3596 ) / 1

LCM(705,3596) = 2535180 / 1

LCM(705,3596) = 2535180


Lets's calculate GCF of 100,146

2 100, 146
50, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2535180/2

Therefore the LCM of Fractions 705/100,3596/146 is 1267590

Greatest Common Factor of 100,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,146 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 100,146 . The biggest common factor number is the GCF number.
So the greatest common factor 100,146 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 705/100, 3596/146

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 705/100, 3596/146?

Answer: LCM of Numerators as per given numbers 705/100, 3596/146 is

LCM of Numerators i.e. for 705,3596 is 2535180

GCF of denominators i.e. for 100,146 is 2.

Thus, LCM of Fractions is 1267590.Finally, LCM of Fractions for 705/100, 3596/146 is 1267590.