Least Common Multiple of 17/987, 571/652, 435/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/987, 571/652, 435/199 quickly i.e. 4222545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/987, 571/652, 435/199 is 4222545.

LCM(17/987, 571/652, 435/199) = 4222545

LCM of 17/987, 571/652, 435/199

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 17/987,571/652,435/199

Given numbers are 17/987,571/652,435/199

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 17,571,435

Least Common Multiple of Numerators i.e. LCM of 17,571,435 is 4222545.

GCF of Denominators means GCF of 987,652,199 as per the given fractions.

GCF of 987,652,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,571,435

LCM of Fractions 17/987,571/652,435/199 is 4222545

Given numbers has no common factors except 1. So, there LCM is their product i.e 4222545

Least Common Multiple of 17,571,435 with GCF Formula

Least Common Multiple of 17,571,435 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 17,571,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,571,435) = 1

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

GCF(17,571,435) x common factors =1 x 1 = 1

LCM(17,571,435) = ( 17 × 571 × 435 ) / 1

LCM(17,571,435) = 4222545 / 1

LCM(17,571,435) = 4222545


Lets's calculate GCF of 987,652,199

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4222545/1

Therefore the LCM of Fractions 17/987,571/652,435/199 is 4222545

Greatest Common Factor of 987,652,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,652,199 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 987,652,199 . The biggest common factor number is the GCF number.
So the greatest common factor 987,652,199 is 1.


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 17/987, 571/652, 435/199

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 17/987, 571/652, 435/199?

Answer: LCM of Numerators as per given numbers 17/987, 571/652, 435/199 is

LCM of Numerators i.e. for 17,571,435 is 4222545

GCF of denominators i.e. for 987,652,199 is 1.

Thus, LCM of Fractions is 4222545.Finally, LCM of Fractions for 17/987, 571/652, 435/199 is 4222545.