Least Common Multiple of 17/583, 76/823, 957/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/583, 76/823, 957/402 quickly i.e. 1236444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/583, 76/823, 957/402 is 1236444.

LCM(17/583, 76/823, 957/402) = 1236444

LCM of 17/583, 76/823, 957/402

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 17/583,76/823,957/402

Given numbers are 17/583,76/823,957/402

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 17,76,957

Least Common Multiple of Numerators i.e. LCM of 17,76,957 is 1236444.

GCF of Denominators means GCF of 583,823,402 as per the given fractions.

GCF of 583,823,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,76,957

LCM of Fractions 17/583,76/823,957/402 is 1236444

Given numbers has no common factors except 1. So, there LCM is their product i.e 1236444

Least Common Multiple of 17,76,957 with GCF Formula

Least Common Multiple of 17,76,957 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 17,76,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,76,957) = 1

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

GCF(17,76,957) x common factors =1 x 1 = 1

LCM(17,76,957) = ( 17 × 76 × 957 ) / 1

LCM(17,76,957) = 1236444 / 1

LCM(17,76,957) = 1236444


Lets's calculate GCF of 583,823,402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1236444/1

Therefore the LCM of Fractions 17/583,76/823,957/402 is 1236444

Greatest Common Factor of 583,823,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,823,402 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 583,823,402 . The biggest common factor number is the GCF number.
So the greatest common factor 583,823,402 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/583, 76/823, 957/402

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 17/583, 76/823, 957/402?

Answer: LCM of Numerators as per given numbers 17/583, 76/823, 957/402 is

LCM of Numerators i.e. for 17,76,957 is 1236444

GCF of denominators i.e. for 583,823,402 is 1.

Thus, LCM of Fractions is 1236444.Finally, LCM of Fractions for 17/583, 76/823, 957/402 is 1236444.