Least Common Multiple of 374/15, 801/8574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 374/15, 801/8574 quickly i.e. 99858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/15, 801/8574 is 99858.

LCM(374/15, 801/8574) = 99858

LCM of 374/15, 801/8574

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 374/15,801/8574

Given numbers are 374/15,801/8574

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 374,801

Least Common Multiple of Numerators i.e. LCM of 374,801 is 299574.

GCF of Denominators means GCF of 15,8574 as per the given fractions.

GCF of 15,8574 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,801

LCM of Fractions 374/15,801/8574 is 99858

Given numbers has no common factors except 1. So, there LCM is their product i.e 299574

Least Common Multiple of 374,801 with GCF Formula

Least Common Multiple of 374,801 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 374,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,801) = 1

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

GCF(374,801) x common factors =1 x 1 = 1

LCM(374,801) = ( 374 × 801 ) / 1

LCM(374,801) = 299574 / 1

LCM(374,801) = 299574


Lets's calculate GCF of 15,8574

3 15, 8574
5, 2858

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299574/3

Therefore the LCM of Fractions 374/15,801/8574 is 99858

Greatest Common Factor of 15,8574 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,8574 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1,2,3,6,1429,2858,4287,8574

Greatest Common Factor

We found the factors 15,8574 . The biggest common factor number is the GCF number.
So the greatest common factor 15,8574 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 374/15, 801/8574

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 374/15, 801/8574?

Answer: LCM of Numerators as per given numbers 374/15, 801/8574 is

LCM of Numerators i.e. for 374,801 is 299574

GCF of denominators i.e. for 15,8574 is 3.

Thus, LCM of Fractions is 99858.Finally, LCM of Fractions for 374/15, 801/8574 is 99858.