Least Common Multiple of 517/946, 462/196, 494/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 517/946, 462/196, 494/166 quickly i.e. 2681679 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 517/946, 462/196, 494/166 is 2681679.

LCM(517/946, 462/196, 494/166) = 2681679

LCM of 517/946, 462/196, 494/166

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 517/946,462/196,494/166

Given numbers are 517/946,462/196,494/166

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 517,462,494

Least Common Multiple of Numerators i.e. LCM of 517,462,494 is 5363358.

GCF of Denominators means GCF of 946,196,166 as per the given fractions.

GCF of 946,196,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 517,462,494

LCM of Fractions 517/946,462/196,494/166 is 2681679

2 517, 462, 494
11 517, 231, 247
47, 21, 247

∴ So the LCM of the given numbers is 2 x 11 x 47 x 21 x 247 = 5363358

Least Common Multiple of 517,462,494 with GCF Formula

Least Common Multiple of 517,462,494 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 517,462,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,462,494) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(517,462,494) x common factors =1 x 22 = 22

LCM(517,462,494) = ( 517 × 462 × 494 ) / 22

LCM(517,462,494) = 117993876 / 22

LCM(517,462,494) = 5363358


Lets's calculate GCF of 946,196,166

2 946, 196, 166
473, 98, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5363358/2

Therefore the LCM of Fractions 517/946,462/196,494/166 is 2681679

Greatest Common Factor of 946,196,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,196,166 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 946,196,166 . The biggest common factor number is the GCF number.
So the greatest common factor 946,196,166 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 517/946, 462/196, 494/166

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 517/946, 462/196, 494/166?

Answer: LCM of Numerators as per given numbers 517/946, 462/196, 494/166 is

LCM of Numerators i.e. for 517,462,494 is 5363358

GCF of denominators i.e. for 946,196,166 is 2.

Thus, LCM of Fractions is 2681679.Finally, LCM of Fractions for 517/946, 462/196, 494/166 is 2681679.