Least Common Multiple of 363/84, 4249/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/84, 4249/651 quickly i.e. 73447 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/84, 4249/651 is 73447.

LCM(363/84, 4249/651) = 73447

LCM of 363/84, 4249/651

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 363/84,4249/651

Given numbers are 363/84,4249/651

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 363,4249

Least Common Multiple of Numerators i.e. LCM of 363,4249 is 1542387.

GCF of Denominators means GCF of 84,651 as per the given fractions.

GCF of 84,651 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,4249

LCM of Fractions 363/84,4249/651 is 73447

Given numbers has no common factors except 1. So, there LCM is their product i.e 1542387

Least Common Multiple of 363,4249 with GCF Formula

Least Common Multiple of 363,4249 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 363,4249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,4249) = 1

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

GCF(363,4249) x common factors =1 x 1 = 1

LCM(363,4249) = ( 363 × 4249 ) / 1

LCM(363,4249) = 1542387 / 1

LCM(363,4249) = 1542387


Lets's calculate GCF of 84,651

3 84, 651
7 28, 217
4, 31

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1542387/21

Therefore the LCM of Fractions 363/84,4249/651 is 73447

Greatest Common Factor of 84,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,651 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 84,651 . The biggest common factor number is the GCF number.
So the greatest common factor 84,651 is 21.


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 363/84, 4249/651

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 363/84, 4249/651?

Answer: LCM of Numerators as per given numbers 363/84, 4249/651 is

LCM of Numerators i.e. for 363,4249 is 1542387

GCF of denominators i.e. for 84,651 is 21.

Thus, LCM of Fractions is 73447.Finally, LCM of Fractions for 363/84, 4249/651 is 73447.