Least Common Multiple of 874/90, 198/6458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/90, 198/6458 quickly i.e. 43263 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/90, 198/6458 is 43263.

LCM(874/90, 198/6458) = 43263

LCM of 874/90, 198/6458

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 874/90,198/6458

Given numbers are 874/90,198/6458

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 874,198

Least Common Multiple of Numerators i.e. LCM of 874,198 is 86526.

GCF of Denominators means GCF of 90,6458 as per the given fractions.

GCF of 90,6458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,198

LCM of Fractions 874/90,198/6458 is 43263

2 874, 198
437, 99

∴ So the LCM of the given numbers is 2 x 437 x 99 = 86526

Least Common Multiple of 874,198 with GCF Formula

Least Common Multiple of 874,198 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 874,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,198) = 2

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

GCF(874,198) x common factors =2 x 1 = 2

LCM(874,198) = ( 874 × 198 ) / 2

LCM(874,198) = 173052 / 2

LCM(874,198) = 86526


Lets's calculate GCF of 90,6458

2 90, 6458
45, 3229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86526/2

Therefore the LCM of Fractions 874/90,198/6458 is 43263

Greatest Common Factor of 90,6458 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,6458 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 6458

List of positive integer factors of 6458 that divides 6458 without a remainder.

1,2,3229,6458

Greatest Common Factor

We found the factors 90,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 90,6458 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 874/90, 198/6458

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 874/90, 198/6458?

Answer: LCM of Numerators as per given numbers 874/90, 198/6458 is

LCM of Numerators i.e. for 874,198 is 86526

GCF of denominators i.e. for 90,6458 is 2.

Thus, LCM of Fractions is 43263.Finally, LCM of Fractions for 874/90, 198/6458 is 43263.