Least Common Multiple of 46/342, 271/427, 714/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/342, 271/427, 714/417 quickly i.e. 4450362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/342, 271/427, 714/417 is 4450362.

LCM(46/342, 271/427, 714/417) = 4450362

LCM of 46/342, 271/427, 714/417

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 46/342,271/427,714/417

Given numbers are 46/342,271/427,714/417

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 46,271,714

Least Common Multiple of Numerators i.e. LCM of 46,271,714 is 4450362.

GCF of Denominators means GCF of 342,427,417 as per the given fractions.

GCF of 342,427,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,271,714

LCM of Fractions 46/342,271/427,714/417 is 4450362

2 46, 271, 714
23, 271, 357

∴ So the LCM of the given numbers is 2 x 23 x 271 x 357 = 4450362

Least Common Multiple of 46,271,714 with GCF Formula

Least Common Multiple of 46,271,714 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 46,271,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,271,714) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,271,714) x common factors =1 x 2 = 2

LCM(46,271,714) = ( 46 × 271 × 714 ) / 2

LCM(46,271,714) = 8900724 / 2

LCM(46,271,714) = 4450362


Lets's calculate GCF of 342,427,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4450362/1

Therefore the LCM of Fractions 46/342,271/427,714/417 is 4450362

Greatest Common Factor of 342,427,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,427,417 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 342,427,417 . The biggest common factor number is the GCF number.
So the greatest common factor 342,427,417 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 46/342, 271/427, 714/417

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 46/342, 271/427, 714/417?

Answer: LCM of Numerators as per given numbers 46/342, 271/427, 714/417 is

LCM of Numerators i.e. for 46,271,714 is 4450362

GCF of denominators i.e. for 342,427,417 is 1.

Thus, LCM of Fractions is 4450362.Finally, LCM of Fractions for 46/342, 271/427, 714/417 is 4450362.