Least Common Multiple of 56/465, 5565/3858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/465, 5565/3858 quickly i.e. 14840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/465, 5565/3858 is 14840.

LCM(56/465, 5565/3858) = 14840

LCM of 56/465, 5565/3858

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 56/465,5565/3858

Given numbers are 56/465,5565/3858

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 56,5565

Least Common Multiple of Numerators i.e. LCM of 56,5565 is 44520.

GCF of Denominators means GCF of 465,3858 as per the given fractions.

GCF of 465,3858 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,5565

LCM of Fractions 56/465,5565/3858 is 14840

7 56, 5565
8, 795

∴ So the LCM of the given numbers is 7 x 8 x 795 = 44520

Least Common Multiple of 56,5565 with GCF Formula

Least Common Multiple of 56,5565 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 56,5565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,5565) = 7

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

GCF(56,5565) x common factors =7 x 1 = 7

LCM(56,5565) = ( 56 × 5565 ) / 7

LCM(56,5565) = 311640 / 7

LCM(56,5565) = 44520


Lets's calculate GCF of 465,3858

3 465, 3858
155, 1286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44520/3

Therefore the LCM of Fractions 56/465,5565/3858 is 14840

Greatest Common Factor of 465,3858 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,3858 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 3858

List of positive integer factors of 3858 that divides 3858 without a remainder.

1,2,3,6,643,1286,1929,3858

Greatest Common Factor

We found the factors 465,3858 . The biggest common factor number is the GCF number.
So the greatest common factor 465,3858 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 56/465, 5565/3858

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 56/465, 5565/3858?

Answer: LCM of Numerators as per given numbers 56/465, 5565/3858 is

LCM of Numerators i.e. for 56,5565 is 44520

GCF of denominators i.e. for 465,3858 is 3.

Thus, LCM of Fractions is 14840.Finally, LCM of Fractions for 56/465, 5565/3858 is 14840.