Least Common Multiple of 878/874, 4500/4486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/874, 4500/4486 quickly i.e. 987750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/874, 4500/4486 is 987750.

LCM(878/874, 4500/4486) = 987750

LCM of 878/874, 4500/4486

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 878/874,4500/4486

Given numbers are 878/874,4500/4486

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 878,4500

Least Common Multiple of Numerators i.e. LCM of 878,4500 is 1975500.

GCF of Denominators means GCF of 874,4486 as per the given fractions.

GCF of 874,4486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,4500

LCM of Fractions 878/874,4500/4486 is 987750

2 878, 4500
439, 2250

∴ So the LCM of the given numbers is 2 x 439 x 2250 = 1975500

Least Common Multiple of 878,4500 with GCF Formula

Least Common Multiple of 878,4500 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 878,4500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,4500) = 2

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

GCF(878,4500) x common factors =2 x 1 = 2

LCM(878,4500) = ( 878 × 4500 ) / 2

LCM(878,4500) = 3951000 / 2

LCM(878,4500) = 1975500


Lets's calculate GCF of 874,4486

2 874, 4486
437, 2243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1975500/2

Therefore the LCM of Fractions 878/874,4500/4486 is 987750

Greatest Common Factor of 874,4486 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,4486 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 4486

List of positive integer factors of 4486 that divides 4486 without a remainder.

1,2,2243,4486

Greatest Common Factor

We found the factors 874,4486 . The biggest common factor number is the GCF number.
So the greatest common factor 874,4486 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 878/874, 4500/4486

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 878/874, 4500/4486?

Answer: LCM of Numerators as per given numbers 878/874, 4500/4486 is

LCM of Numerators i.e. for 878,4500 is 1975500

GCF of denominators i.e. for 874,4486 is 2.

Thus, LCM of Fractions is 987750.Finally, LCM of Fractions for 878/874, 4500/4486 is 987750.