Least Common Multiple of 13/382, 49/420, 672/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/382, 49/420, 672/415 quickly i.e. 61152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/382, 49/420, 672/415 is 61152.

LCM(13/382, 49/420, 672/415) = 61152

LCM of 13/382, 49/420, 672/415

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 13/382,49/420,672/415

Given numbers are 13/382,49/420,672/415

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 13,49,672

Least Common Multiple of Numerators i.e. LCM of 13,49,672 is 61152.

GCF of Denominators means GCF of 382,420,415 as per the given fractions.

GCF of 382,420,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,49,672

LCM of Fractions 13/382,49/420,672/415 is 61152

7 13, 49, 672
13, 7, 96

∴ So the LCM of the given numbers is 7 x 13 x 7 x 96 = 61152

Least Common Multiple of 13,49,672 with GCF Formula

Least Common Multiple of 13,49,672 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 13,49,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,49,672) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(13,49,672) x common factors =1 x 7 = 7

LCM(13,49,672) = ( 13 × 49 × 672 ) / 7

LCM(13,49,672) = 428064 / 7

LCM(13,49,672) = 61152


Lets's calculate GCF of 382,420,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61152/1

Therefore the LCM of Fractions 13/382,49/420,672/415 is 61152

Greatest Common Factor of 382,420,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,420,415 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 382,420,415 . The biggest common factor number is the GCF number.
So the greatest common factor 382,420,415 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 13/382, 49/420, 672/415

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 13/382, 49/420, 672/415?

Answer: LCM of Numerators as per given numbers 13/382, 49/420, 672/415 is

LCM of Numerators i.e. for 13,49,672 is 61152

GCF of denominators i.e. for 382,420,415 is 1.

Thus, LCM of Fractions is 61152.Finally, LCM of Fractions for 13/382, 49/420, 672/415 is 61152.