Least Common Multiple of 2985/874, 8150/2246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2985/874, 8150/2246 quickly i.e. 2432775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2985/874, 8150/2246 is 2432775.

LCM(2985/874, 8150/2246) = 2432775

LCM of 2985/874, 8150/2246

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 2985/874,8150/2246

Given numbers are 2985/874,8150/2246

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 2985,8150

Least Common Multiple of Numerators i.e. LCM of 2985,8150 is 4865550.

GCF of Denominators means GCF of 874,2246 as per the given fractions.

GCF of 874,2246 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2985,8150

LCM of Fractions 2985/874,8150/2246 is 2432775

5 2985, 8150
597, 1630

∴ So the LCM of the given numbers is 5 x 597 x 1630 = 4865550

Least Common Multiple of 2985,8150 with GCF Formula

Least Common Multiple of 2985,8150 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 2985,8150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2985,8150) = 5

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

GCF(2985,8150) x common factors =5 x 1 = 5

LCM(2985,8150) = ( 2985 × 8150 ) / 5

LCM(2985,8150) = 24327750 / 5

LCM(2985,8150) = 4865550


Lets's calculate GCF of 874,2246

2 874, 2246
437, 1123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4865550/2

Therefore the LCM of Fractions 2985/874,8150/2246 is 2432775

Greatest Common Factor of 874,2246 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,2246 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 2246

List of positive integer factors of 2246 that divides 2246 without a remainder.

1,2,1123,2246

Greatest Common Factor

We found the factors 874,2246 . The biggest common factor number is the GCF number.
So the greatest common factor 874,2246 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2985/874, 8150/2246

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 2985/874, 8150/2246?

Answer: LCM of Numerators as per given numbers 2985/874, 8150/2246 is

LCM of Numerators i.e. for 2985,8150 is 4865550

GCF of denominators i.e. for 874,2246 is 2.

Thus, LCM of Fractions is 2432775.Finally, LCM of Fractions for 2985/874, 8150/2246 is 2432775.