Least Common Multiple of 2037/702, 4186/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2037/702, 4186/897 quickly i.e. 31234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2037/702, 4186/897 is 31234.

LCM(2037/702, 4186/897) = 31234

LCM of 2037/702, 4186/897

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 2037/702,4186/897

Given numbers are 2037/702,4186/897

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 2037,4186

Least Common Multiple of Numerators i.e. LCM of 2037,4186 is 1218126.

GCF of Denominators means GCF of 702,897 as per the given fractions.

GCF of 702,897 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2037,4186

LCM of Fractions 2037/702,4186/897 is 31234

7 2037, 4186
291, 598

∴ So the LCM of the given numbers is 7 x 291 x 598 = 1218126

Least Common Multiple of 2037,4186 with GCF Formula

Least Common Multiple of 2037,4186 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 2037,4186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2037,4186) = 7

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

GCF(2037,4186) x common factors =7 x 1 = 7

LCM(2037,4186) = ( 2037 × 4186 ) / 7

LCM(2037,4186) = 8526882 / 7

LCM(2037,4186) = 1218126


Lets's calculate GCF of 702,897

3 702, 897
13 234, 299
18, 23

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1218126/39

Therefore the LCM of Fractions 2037/702,4186/897 is 31234

Greatest Common Factor of 702,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,897 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 702,897 . The biggest common factor number is the GCF number.
So the greatest common factor 702,897 is 39.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2037/702, 4186/897

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 2037/702, 4186/897?

Answer: LCM of Numerators as per given numbers 2037/702, 4186/897 is

LCM of Numerators i.e. for 2037,4186 is 1218126

GCF of denominators i.e. for 702,897 is 39.

Thus, LCM of Fractions is 31234.Finally, LCM of Fractions for 2037/702, 4186/897 is 31234.