Least Common Multiple of 874/86, 244/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/86, 244/894 quickly i.e. 53314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/86, 244/894 is 53314.

LCM(874/86, 244/894) = 53314

LCM of 874/86, 244/894

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 874/86,244/894

Given numbers are 874/86,244/894

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 874,244

Least Common Multiple of Numerators i.e. LCM of 874,244 is 106628.

GCF of Denominators means GCF of 86,894 as per the given fractions.

GCF of 86,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,244

LCM of Fractions 874/86,244/894 is 53314

2 874, 244
437, 122

∴ So the LCM of the given numbers is 2 x 437 x 122 = 106628

Least Common Multiple of 874,244 with GCF Formula

Least Common Multiple of 874,244 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 874,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,244) = 2

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

GCF(874,244) x common factors =2 x 1 = 2

LCM(874,244) = ( 874 × 244 ) / 2

LCM(874,244) = 213256 / 2

LCM(874,244) = 106628


Lets's calculate GCF of 86,894

2 86, 894
43, 447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106628/2

Therefore the LCM of Fractions 874/86,244/894 is 53314

Greatest Common Factor of 86,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,894 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 86,894 . The biggest common factor number is the GCF number.
So the greatest common factor 86,894 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 874/86, 244/894

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 874/86, 244/894?

Answer: LCM of Numerators as per given numbers 874/86, 244/894 is

LCM of Numerators i.e. for 874,244 is 106628

GCF of denominators i.e. for 86,894 is 2.

Thus, LCM of Fractions is 53314.Finally, LCM of Fractions for 874/86, 244/894 is 53314.