Least Common Multiple of 834/14, 891/7642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/14, 891/7642 quickly i.e. 123849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/14, 891/7642 is 123849.

LCM(834/14, 891/7642) = 123849

LCM of 834/14, 891/7642

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 834/14,891/7642

Given numbers are 834/14,891/7642

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 834,891

Least Common Multiple of Numerators i.e. LCM of 834,891 is 247698.

GCF of Denominators means GCF of 14,7642 as per the given fractions.

GCF of 14,7642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,891

LCM of Fractions 834/14,891/7642 is 123849

3 834, 891
278, 297

∴ So the LCM of the given numbers is 3 x 278 x 297 = 247698

Least Common Multiple of 834,891 with GCF Formula

Least Common Multiple of 834,891 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 834,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,891) = 3

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

GCF(834,891) x common factors =3 x 1 = 3

LCM(834,891) = ( 834 × 891 ) / 3

LCM(834,891) = 743094 / 3

LCM(834,891) = 247698


Lets's calculate GCF of 14,7642

2 14, 7642
7, 3821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247698/2

Therefore the LCM of Fractions 834/14,891/7642 is 123849

Greatest Common Factor of 14,7642 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,7642 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1,2,3821,7642

Greatest Common Factor

We found the factors 14,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 14,7642 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 834/14, 891/7642

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 834/14, 891/7642?

Answer: LCM of Numerators as per given numbers 834/14, 891/7642 is

LCM of Numerators i.e. for 834,891 is 247698

GCF of denominators i.e. for 14,7642 is 2.

Thus, LCM of Fractions is 123849.Finally, LCM of Fractions for 834/14, 891/7642 is 123849.