Least Common Multiple of 1540/698, 1743/4588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1540/698, 1743/4588 quickly i.e. 191730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1540/698, 1743/4588 is 191730.

LCM(1540/698, 1743/4588) = 191730

LCM of 1540/698, 1743/4588

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 1540/698,1743/4588

Given numbers are 1540/698,1743/4588

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 1540,1743

Least Common Multiple of Numerators i.e. LCM of 1540,1743 is 383460.

GCF of Denominators means GCF of 698,4588 as per the given fractions.

GCF of 698,4588 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1540,1743

LCM of Fractions 1540/698,1743/4588 is 191730

7 1540, 1743
220, 249

∴ So the LCM of the given numbers is 7 x 220 x 249 = 383460

Least Common Multiple of 1540,1743 with GCF Formula

Least Common Multiple of 1540,1743 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 1540,1743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1540,1743) = 7

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

GCF(1540,1743) x common factors =7 x 1 = 7

LCM(1540,1743) = ( 1540 × 1743 ) / 7

LCM(1540,1743) = 2684220 / 7

LCM(1540,1743) = 383460


Lets's calculate GCF of 698,4588

2 698, 4588
349, 2294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383460/2

Therefore the LCM of Fractions 1540/698,1743/4588 is 191730

Greatest Common Factor of 698,4588 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,4588 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1,2,4,31,37,62,74,124,148,1147,2294,4588

Greatest Common Factor

We found the factors 698,4588 . The biggest common factor number is the GCF number.
So the greatest common factor 698,4588 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 1540/698, 1743/4588

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 1540/698, 1743/4588?

Answer: LCM of Numerators as per given numbers 1540/698, 1743/4588 is

LCM of Numerators i.e. for 1540,1743 is 383460

GCF of denominators i.e. for 698,4588 is 2.

Thus, LCM of Fractions is 191730.Finally, LCM of Fractions for 1540/698, 1743/4588 is 191730.