Least Common Multiple of 840/425, 7375/3689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/425, 7375/3689 quickly i.e. 1239000/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/425, 7375/3689 is 1239000/17.

LCM(840/425, 7375/3689) = 1239000/17

LCM of 840/425, 7375/3689

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 840/425,7375/3689

Given numbers are 840/425,7375/3689

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 840,7375

Least Common Multiple of Numerators i.e. LCM of 840,7375 is 1239000.

GCF of Denominators means GCF of 425,3689 as per the given fractions.

GCF of 425,3689 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,7375

LCM of Fractions 840/425,7375/3689 is 1239000/17

5 840, 7375
168, 1475

∴ So the LCM of the given numbers is 5 x 168 x 1475 = 1239000

Least Common Multiple of 840,7375 with GCF Formula

Least Common Multiple of 840,7375 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 840,7375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,7375) = 5

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

GCF(840,7375) x common factors =5 x 1 = 5

LCM(840,7375) = ( 840 × 7375 ) / 5

LCM(840,7375) = 6195000 / 5

LCM(840,7375) = 1239000


Lets's calculate GCF of 425,3689

17 425, 3689
25, 217

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1239000/17

Therefore the LCM of Fractions 840/425,7375/3689 is 1239000/17

Greatest Common Factor of 425,3689 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,3689 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 3689

List of positive integer factors of 3689 that divides 3689 without a remainder.

1,7,17,31,119,217,527,3689

Greatest Common Factor

We found the factors 425,3689 . The biggest common factor number is the GCF number.
So the greatest common factor 425,3689 is 17.


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 840/425, 7375/3689

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 840/425, 7375/3689?

Answer: LCM of Numerators as per given numbers 840/425, 7375/3689 is

LCM of Numerators i.e. for 840,7375 is 1239000

GCF of denominators i.e. for 425,3689 is 17.

Thus, LCM of Fractions is 1239000/17.Finally, LCM of Fractions for 840/425, 7375/3689 is 1239000/17.