Least Common Multiple of 837/442, 9765/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 837/442, 9765/698 quickly i.e. 29295/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/442, 9765/698 is 29295/2.

LCM(837/442, 9765/698) = 29295/2

LCM of 837/442, 9765/698

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 837/442,9765/698

Given numbers are 837/442,9765/698

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 837,9765

Least Common Multiple of Numerators i.e. LCM of 837,9765 is 29295.

GCF of Denominators means GCF of 442,698 as per the given fractions.

GCF of 442,698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,9765

LCM of Fractions 837/442,9765/698 is 29295/2

3 837, 9765
3 279, 3255
31 93, 1085
3, 35

∴ So the LCM of the given numbers is 3 x 3 x 31 x 3 x 35 = 29295

Least Common Multiple of 837,9765 with GCF Formula

Least Common Multiple of 837,9765 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 837,9765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,9765) = 279

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

GCF(837,9765) x common factors =279 x 1 = 279

LCM(837,9765) = ( 837 × 9765 ) / 279

LCM(837,9765) = 8173305 / 279

LCM(837,9765) = 29295


Lets's calculate GCF of 442,698

2 442, 698
221, 349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29295/2

Therefore the LCM of Fractions 837/442,9765/698 is 29295/2

Greatest Common Factor of 442,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,698 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 442,698 . The biggest common factor number is the GCF number.
So the greatest common factor 442,698 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 837/442, 9765/698

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 837/442, 9765/698?

Answer: LCM of Numerators as per given numbers 837/442, 9765/698 is

LCM of Numerators i.e. for 837,9765 is 29295

GCF of denominators i.e. for 442,698 is 2.

Thus, LCM of Fractions is 29295/2.Finally, LCM of Fractions for 837/442, 9765/698 is 29295/2.