Least Common Multiple of 49/418, 619/792, 221/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/418, 619/792, 221/733 quickly i.e. 6703151 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/418, 619/792, 221/733 is 6703151.

LCM(49/418, 619/792, 221/733) = 6703151

LCM of 49/418, 619/792, 221/733

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 49/418,619/792,221/733

Given numbers are 49/418,619/792,221/733

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 49,619,221

Least Common Multiple of Numerators i.e. LCM of 49,619,221 is 6703151.

GCF of Denominators means GCF of 418,792,733 as per the given fractions.

GCF of 418,792,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,619,221

LCM of Fractions 49/418,619/792,221/733 is 6703151

Given numbers has no common factors except 1. So, there LCM is their product i.e 6703151

Least Common Multiple of 49,619,221 with GCF Formula

Least Common Multiple of 49,619,221 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 49,619,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,619,221) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,619,221) x common factors =1 x 1 = 1

LCM(49,619,221) = ( 49 × 619 × 221 ) / 1

LCM(49,619,221) = 6703151 / 1

LCM(49,619,221) = 6703151


Lets's calculate GCF of 418,792,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6703151/1

Therefore the LCM of Fractions 49/418,619/792,221/733 is 6703151

Greatest Common Factor of 418,792,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,792,733 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 418,792,733 . The biggest common factor number is the GCF number.
So the greatest common factor 418,792,733 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 49/418, 619/792, 221/733

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 49/418, 619/792, 221/733?

Answer: LCM of Numerators as per given numbers 49/418, 619/792, 221/733 is

LCM of Numerators i.e. for 49,619,221 is 6703151

GCF of denominators i.e. for 418,792,733 is 1.

Thus, LCM of Fractions is 6703151.Finally, LCM of Fractions for 49/418, 619/792, 221/733 is 6703151.