Least Common Multiple of 123/49, 230/55, 313/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/49, 230/55, 313/665 quickly i.e. 8854770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/49, 230/55, 313/665 is 8854770.

LCM(123/49, 230/55, 313/665) = 8854770

LCM of 123/49, 230/55, 313/665

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 123/49,230/55,313/665

Given numbers are 123/49,230/55,313/665

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 123,230,313

Least Common Multiple of Numerators i.e. LCM of 123,230,313 is 8854770.

GCF of Denominators means GCF of 49,55,665 as per the given fractions.

GCF of 49,55,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,230,313

LCM of Fractions 123/49,230/55,313/665 is 8854770

Given numbers has no common factors except 1. So, there LCM is their product i.e 8854770

Least Common Multiple of 123,230,313 with GCF Formula

Least Common Multiple of 123,230,313 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 123,230,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,230,313) = 1

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

GCF(123,230,313) x common factors =1 x 1 = 1

LCM(123,230,313) = ( 123 × 230 × 313 ) / 1

LCM(123,230,313) = 8854770 / 1

LCM(123,230,313) = 8854770


Lets's calculate GCF of 49,55,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8854770/1

Therefore the LCM of Fractions 123/49,230/55,313/665 is 8854770

Greatest Common Factor of 49,55,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,55,665 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 55

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

1,5,11,55

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 49,55,665 . The biggest common factor number is the GCF number.
So the greatest common factor 49,55,665 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 123/49, 230/55, 313/665

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 123/49, 230/55, 313/665?

Answer: LCM of Numerators as per given numbers 123/49, 230/55, 313/665 is

LCM of Numerators i.e. for 123,230,313 is 8854770

GCF of denominators i.e. for 49,55,665 is 1.

Thus, LCM of Fractions is 8854770.Finally, LCM of Fractions for 123/49, 230/55, 313/665 is 8854770.