Least Common Multiple of 377/459, 3816/5514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/459, 3816/5514 quickly i.e. 479544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/459, 3816/5514 is 479544.

LCM(377/459, 3816/5514) = 479544

LCM of 377/459, 3816/5514

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 377/459,3816/5514

Given numbers are 377/459,3816/5514

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 377,3816

Least Common Multiple of Numerators i.e. LCM of 377,3816 is 1438632.

GCF of Denominators means GCF of 459,5514 as per the given fractions.

GCF of 459,5514 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,3816

LCM of Fractions 377/459,3816/5514 is 479544

Given numbers has no common factors except 1. So, there LCM is their product i.e 1438632

Least Common Multiple of 377,3816 with GCF Formula

Least Common Multiple of 377,3816 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 377,3816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,3816) = 1

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

GCF(377,3816) x common factors =1 x 1 = 1

LCM(377,3816) = ( 377 × 3816 ) / 1

LCM(377,3816) = 1438632 / 1

LCM(377,3816) = 1438632


Lets's calculate GCF of 459,5514

3 459, 5514
153, 1838

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1438632/3

Therefore the LCM of Fractions 377/459,3816/5514 is 479544

Greatest Common Factor of 459,5514 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,5514 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 5514

List of positive integer factors of 5514 that divides 5514 without a remainder.

1,2,3,6,919,1838,2757,5514

Greatest Common Factor

We found the factors 459,5514 . The biggest common factor number is the GCF number.
So the greatest common factor 459,5514 is 3.


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 377/459, 3816/5514

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 377/459, 3816/5514?

Answer: LCM of Numerators as per given numbers 377/459, 3816/5514 is

LCM of Numerators i.e. for 377,3816 is 1438632

GCF of denominators i.e. for 459,5514 is 3.

Thus, LCM of Fractions is 479544.Finally, LCM of Fractions for 377/459, 3816/5514 is 479544.