Least Common Multiple of 82/63, 784/29, 495/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/63, 784/29, 495/349 quickly i.e. 15911280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/63, 784/29, 495/349 is 15911280.

LCM(82/63, 784/29, 495/349) = 15911280

LCM of 82/63, 784/29, 495/349

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 82/63,784/29,495/349

Given numbers are 82/63,784/29,495/349

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 82,784,495

Least Common Multiple of Numerators i.e. LCM of 82,784,495 is 15911280.

GCF of Denominators means GCF of 63,29,349 as per the given fractions.

GCF of 63,29,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,784,495

LCM of Fractions 82/63,784/29,495/349 is 15911280

2 82, 784, 495
41, 392, 495

∴ So the LCM of the given numbers is 2 x 41 x 392 x 495 = 15911280

Least Common Multiple of 82,784,495 with GCF Formula

Least Common Multiple of 82,784,495 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 82,784,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,784,495) = 1

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

GCF(82,784,495) x common factors =1 x 2 = 2

LCM(82,784,495) = ( 82 × 784 × 495 ) / 2

LCM(82,784,495) = 31822560 / 2

LCM(82,784,495) = 15911280


Lets's calculate GCF of 63,29,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15911280/1

Therefore the LCM of Fractions 82/63,784/29,495/349 is 15911280

Greatest Common Factor of 63,29,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,29,349 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 63,29,349 . The biggest common factor number is the GCF number.
So the greatest common factor 63,29,349 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 82/63, 784/29, 495/349

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 82/63, 784/29, 495/349?

Answer: LCM of Numerators as per given numbers 82/63, 784/29, 495/349 is

LCM of Numerators i.e. for 82,784,495 is 15911280

GCF of denominators i.e. for 63,29,349 is 1.

Thus, LCM of Fractions is 15911280.Finally, LCM of Fractions for 82/63, 784/29, 495/349 is 15911280.