Least Common Multiple of 64/482, 874/795, 643/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/482, 874/795, 643/336 quickly i.e. 17983424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/482, 874/795, 643/336 is 17983424.

LCM(64/482, 874/795, 643/336) = 17983424

LCM of 64/482, 874/795, 643/336

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 64/482,874/795,643/336

Given numbers are 64/482,874/795,643/336

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 64,874,643

Least Common Multiple of Numerators i.e. LCM of 64,874,643 is 17983424.

GCF of Denominators means GCF of 482,795,336 as per the given fractions.

GCF of 482,795,336 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,874,643

LCM of Fractions 64/482,874/795,643/336 is 17983424

2 64, 874, 643
32, 437, 643

∴ So the LCM of the given numbers is 2 x 32 x 437 x 643 = 17983424

Least Common Multiple of 64,874,643 with GCF Formula

Least Common Multiple of 64,874,643 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 64,874,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,874,643) = 1

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

GCF(64,874,643) x common factors =1 x 2 = 2

LCM(64,874,643) = ( 64 × 874 × 643 ) / 2

LCM(64,874,643) = 35966848 / 2

LCM(64,874,643) = 17983424


Lets's calculate GCF of 482,795,336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17983424/1

Therefore the LCM of Fractions 64/482,874/795,643/336 is 17983424

Greatest Common Factor of 482,795,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,795,336 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 482,795,336 . The biggest common factor number is the GCF number.
So the greatest common factor 482,795,336 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 64/482, 874/795, 643/336

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 64/482, 874/795, 643/336?

Answer: LCM of Numerators as per given numbers 64/482, 874/795, 643/336 is

LCM of Numerators i.e. for 64,874,643 is 17983424

GCF of denominators i.e. for 482,795,336 is 1.

Thus, LCM of Fractions is 17983424.Finally, LCM of Fractions for 64/482, 874/795, 643/336 is 17983424.