Least Common Multiple of 17/282, 50/267, 229/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/282, 50/267, 229/707 quickly i.e. 194650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/282, 50/267, 229/707 is 194650.

LCM(17/282, 50/267, 229/707) = 194650

LCM of 17/282, 50/267, 229/707

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 17/282,50/267,229/707

Given numbers are 17/282,50/267,229/707

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 17,50,229

Least Common Multiple of Numerators i.e. LCM of 17,50,229 is 194650.

GCF of Denominators means GCF of 282,267,707 as per the given fractions.

GCF of 282,267,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,50,229

LCM of Fractions 17/282,50/267,229/707 is 194650

Given numbers has no common factors except 1. So, there LCM is their product i.e 194650

Least Common Multiple of 17,50,229 with GCF Formula

Least Common Multiple of 17,50,229 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 17,50,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,50,229) = 1

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

GCF(17,50,229) x common factors =1 x 1 = 1

LCM(17,50,229) = ( 17 × 50 × 229 ) / 1

LCM(17,50,229) = 194650 / 1

LCM(17,50,229) = 194650


Lets's calculate GCF of 282,267,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194650/1

Therefore the LCM of Fractions 17/282,50/267,229/707 is 194650

Greatest Common Factor of 282,267,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,267,707 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 282,267,707 . The biggest common factor number is the GCF number.
So the greatest common factor 282,267,707 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/282, 50/267, 229/707

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 17/282, 50/267, 229/707?

Answer: LCM of Numerators as per given numbers 17/282, 50/267, 229/707 is

LCM of Numerators i.e. for 17,50,229 is 194650

GCF of denominators i.e. for 282,267,707 is 1.

Thus, LCM of Fractions is 194650.Finally, LCM of Fractions for 17/282, 50/267, 229/707 is 194650.