Least Common Multiple of 1398/904, 1835/8756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1398/904, 1835/8756 quickly i.e. 2565330/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1398/904, 1835/8756 is 2565330/4.

LCM(1398/904, 1835/8756) = 2565330/4

LCM of 1398/904, 1835/8756

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 1398/904,1835/8756

Given numbers are 1398/904,1835/8756

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 1398,1835

Least Common Multiple of Numerators i.e. LCM of 1398,1835 is 2565330.

GCF of Denominators means GCF of 904,8756 as per the given fractions.

GCF of 904,8756 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1398,1835

LCM of Fractions 1398/904,1835/8756 is 2565330/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 2565330

Least Common Multiple of 1398,1835 with GCF Formula

Least Common Multiple of 1398,1835 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 1398,1835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1398,1835) = 1

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

GCF(1398,1835) x common factors =1 x 1 = 1

LCM(1398,1835) = ( 1398 × 1835 ) / 1

LCM(1398,1835) = 2565330 / 1

LCM(1398,1835) = 2565330


Lets's calculate GCF of 904,8756

2 904, 8756
2 452, 4378
226, 2189

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2565330/4

Therefore the LCM of Fractions 1398/904,1835/8756 is 2565330/4

Greatest Common Factor of 904,8756 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,8756 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 8756

List of positive integer factors of 8756 that divides 8756 without a remainder.

1,2,4,11,22,44,199,398,796,2189,4378,8756

Greatest Common Factor

We found the factors 904,8756 . The biggest common factor number is the GCF number.
So the greatest common factor 904,8756 is 4.


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 1398/904, 1835/8756

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 1398/904, 1835/8756?

Answer: LCM of Numerators as per given numbers 1398/904, 1835/8756 is

LCM of Numerators i.e. for 1398,1835 is 2565330

GCF of denominators i.e. for 904,8756 is 4.

Thus, LCM of Fractions is 2565330/4.Finally, LCM of Fractions for 1398/904, 1835/8756 is 2565330/4.