Least Common Multiple of 1974/574, 9095/7000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1974/574, 9095/7000 quickly i.e. 1282395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1974/574, 9095/7000 is 1282395.

LCM(1974/574, 9095/7000) = 1282395

LCM of 1974/574, 9095/7000

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 1974/574,9095/7000

Given numbers are 1974/574,9095/7000

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 1974,9095

Least Common Multiple of Numerators i.e. LCM of 1974,9095 is 17953530.

GCF of Denominators means GCF of 574,7000 as per the given fractions.

GCF of 574,7000 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1974,9095

LCM of Fractions 1974/574,9095/7000 is 1282395

Given numbers has no common factors except 1. So, there LCM is their product i.e 17953530

Least Common Multiple of 1974,9095 with GCF Formula

Least Common Multiple of 1974,9095 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 1974,9095 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1974,9095) = 1

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

GCF(1974,9095) x common factors =1 x 1 = 1

LCM(1974,9095) = ( 1974 × 9095 ) / 1

LCM(1974,9095) = 17953530 / 1

LCM(1974,9095) = 17953530


Lets's calculate GCF of 574,7000

2 574, 7000
7 287, 3500
41, 500

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17953530/14

Therefore the LCM of Fractions 1974/574,9095/7000 is 1282395

Greatest Common Factor of 574,7000 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,7000 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 7000

List of positive integer factors of 7000 that divides 7000 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000

Greatest Common Factor

We found the factors 574,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 574,7000 is 14.


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 1974/574, 9095/7000

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 1974/574, 9095/7000?

Answer: LCM of Numerators as per given numbers 1974/574, 9095/7000 is

LCM of Numerators i.e. for 1974,9095 is 17953530

GCF of denominators i.e. for 574,7000 is 14.

Thus, LCM of Fractions is 1282395.Finally, LCM of Fractions for 1974/574, 9095/7000 is 1282395.