Least Common Multiple of 655/55, 749/8416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 655/55, 749/8416 quickly i.e. 490595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 655/55, 749/8416 is 490595.

LCM(655/55, 749/8416) = 490595

LCM of 655/55, 749/8416

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 655/55,749/8416

Given numbers are 655/55,749/8416

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 655,749

Least Common Multiple of Numerators i.e. LCM of 655,749 is 490595.

GCF of Denominators means GCF of 55,8416 as per the given fractions.

GCF of 55,8416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 655,749

LCM of Fractions 655/55,749/8416 is 490595

Given numbers has no common factors except 1. So, there LCM is their product i.e 490595

Least Common Multiple of 655,749 with GCF Formula

Least Common Multiple of 655,749 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 655,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,749) = 1

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

GCF(655,749) x common factors =1 x 1 = 1

LCM(655,749) = ( 655 × 749 ) / 1

LCM(655,749) = 490595 / 1

LCM(655,749) = 490595


Lets's calculate GCF of 55,8416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490595/1

Therefore the LCM of Fractions 655/55,749/8416 is 490595

Greatest Common Factor of 55,8416 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,8416 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1,2,4,8,16,32,263,526,1052,2104,4208,8416

Greatest Common Factor

We found the factors 55,8416 . The biggest common factor number is the GCF number.
So the greatest common factor 55,8416 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 655/55, 749/8416

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 655/55, 749/8416?

Answer: LCM of Numerators as per given numbers 655/55, 749/8416 is

LCM of Numerators i.e. for 655,749 is 490595

GCF of denominators i.e. for 55,8416 is 1.

Thus, LCM of Fractions is 490595.Finally, LCM of Fractions for 655/55, 749/8416 is 490595.