Least Common Multiple of 42/584, 117/846, 817/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/584, 117/846, 817/197 quickly i.e. 1338246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/584, 117/846, 817/197 is 1338246.

LCM(42/584, 117/846, 817/197) = 1338246

LCM of 42/584, 117/846, 817/197

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 42/584,117/846,817/197

Given numbers are 42/584,117/846,817/197

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 42,117,817

Least Common Multiple of Numerators i.e. LCM of 42,117,817 is 1338246.

GCF of Denominators means GCF of 584,846,197 as per the given fractions.

GCF of 584,846,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,117,817

LCM of Fractions 42/584,117/846,817/197 is 1338246

3 42, 117, 817
14, 39, 817

∴ So the LCM of the given numbers is 3 x 14 x 39 x 817 = 1338246

Least Common Multiple of 42,117,817 with GCF Formula

Least Common Multiple of 42,117,817 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 42,117,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,117,817) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(42,117,817) x common factors =1 x 3 = 3

LCM(42,117,817) = ( 42 × 117 × 817 ) / 3

LCM(42,117,817) = 4014738 / 3

LCM(42,117,817) = 1338246


Lets's calculate GCF of 584,846,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1338246/1

Therefore the LCM of Fractions 42/584,117/846,817/197 is 1338246

Greatest Common Factor of 584,846,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,846,197 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 584,846,197 . The biggest common factor number is the GCF number.
So the greatest common factor 584,846,197 is 1.


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 42/584, 117/846, 817/197

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 42/584, 117/846, 817/197?

Answer: LCM of Numerators as per given numbers 42/584, 117/846, 817/197 is

LCM of Numerators i.e. for 42,117,817 is 1338246

GCF of denominators i.e. for 584,846,197 is 1.

Thus, LCM of Fractions is 1338246.Finally, LCM of Fractions for 42/584, 117/846, 817/197 is 1338246.