Least Common Multiple of 42/594, 1700/2474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/594, 1700/2474 quickly i.e. 17850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/594, 1700/2474 is 17850.

LCM(42/594, 1700/2474) = 17850

LCM of 42/594, 1700/2474

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 42/594,1700/2474

Given numbers are 42/594,1700/2474

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 42,1700

Least Common Multiple of Numerators i.e. LCM of 42,1700 is 35700.

GCF of Denominators means GCF of 594,2474 as per the given fractions.

GCF of 594,2474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,1700

LCM of Fractions 42/594,1700/2474 is 17850

2 42, 1700
21, 850

∴ So the LCM of the given numbers is 2 x 21 x 850 = 35700

Least Common Multiple of 42,1700 with GCF Formula

Least Common Multiple of 42,1700 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 42,1700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1700) = 2

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

GCF(42,1700) x common factors =2 x 1 = 2

LCM(42,1700) = ( 42 × 1700 ) / 2

LCM(42,1700) = 71400 / 2

LCM(42,1700) = 35700


Lets's calculate GCF of 594,2474

2 594, 2474
297, 1237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35700/2

Therefore the LCM of Fractions 42/594,1700/2474 is 17850

Greatest Common Factor of 594,2474 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,2474 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 2474

List of positive integer factors of 2474 that divides 2474 without a remainder.

1,2,1237,2474

Greatest Common Factor

We found the factors 594,2474 . The biggest common factor number is the GCF number.
So the greatest common factor 594,2474 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 42/594, 1700/2474

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 42/594, 1700/2474?

Answer: LCM of Numerators as per given numbers 42/594, 1700/2474 is

LCM of Numerators i.e. for 42,1700 is 35700

GCF of denominators i.e. for 594,2474 is 2.

Thus, LCM of Fractions is 17850.Finally, LCM of Fractions for 42/594, 1700/2474 is 17850.