Least Common Multiple of 15/346, 252/367, 634/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/346, 252/367, 634/265 quickly i.e. 399420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/346, 252/367, 634/265 is 399420.

LCM(15/346, 252/367, 634/265) = 399420

LCM of 15/346, 252/367, 634/265

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 15/346,252/367,634/265

Given numbers are 15/346,252/367,634/265

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 15,252,634

Least Common Multiple of Numerators i.e. LCM of 15,252,634 is 399420.

GCF of Denominators means GCF of 346,367,265 as per the given fractions.

GCF of 346,367,265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,252,634

LCM of Fractions 15/346,252/367,634/265 is 399420

2 15, 252, 634
3 15, 126, 317
5, 42, 317

∴ So the LCM of the given numbers is 2 x 3 x 5 x 42 x 317 = 399420

Least Common Multiple of 15,252,634 with GCF Formula

Least Common Multiple of 15,252,634 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 15,252,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,252,634) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(15,252,634) x common factors =1 x 6 = 6

LCM(15,252,634) = ( 15 × 252 × 634 ) / 6

LCM(15,252,634) = 2396520 / 6

LCM(15,252,634) = 399420


Lets's calculate GCF of 346,367,265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399420/1

Therefore the LCM of Fractions 15/346,252/367,634/265 is 399420

Greatest Common Factor of 346,367,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,367,265 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 346,367,265 . The biggest common factor number is the GCF number.
So the greatest common factor 346,367,265 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 15/346, 252/367, 634/265

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 15/346, 252/367, 634/265?

Answer: LCM of Numerators as per given numbers 15/346, 252/367, 634/265 is

LCM of Numerators i.e. for 15,252,634 is 399420

GCF of denominators i.e. for 346,367,265 is 1.

Thus, LCM of Fractions is 399420.Finally, LCM of Fractions for 15/346, 252/367, 634/265 is 399420.