Least Common Multiple of 670/105, 363/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/105, 363/258 quickly i.e. 81070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/105, 363/258 is 81070.

LCM(670/105, 363/258) = 81070

LCM of 670/105, 363/258

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 670/105,363/258

Given numbers are 670/105,363/258

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 670,363

Least Common Multiple of Numerators i.e. LCM of 670,363 is 243210.

GCF of Denominators means GCF of 105,258 as per the given fractions.

GCF of 105,258 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,363

LCM of Fractions 670/105,363/258 is 81070

Given numbers has no common factors except 1. So, there LCM is their product i.e 243210

Least Common Multiple of 670,363 with GCF Formula

Least Common Multiple of 670,363 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 670,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,363) = 1

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

GCF(670,363) x common factors =1 x 1 = 1

LCM(670,363) = ( 670 × 363 ) / 1

LCM(670,363) = 243210 / 1

LCM(670,363) = 243210


Lets's calculate GCF of 105,258

3 105, 258
35, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243210/3

Therefore the LCM of Fractions 670/105,363/258 is 81070

Greatest Common Factor of 105,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,258 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 105,258 . The biggest common factor number is the GCF number.
So the greatest common factor 105,258 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 670/105, 363/258

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 670/105, 363/258?

Answer: LCM of Numerators as per given numbers 670/105, 363/258 is

LCM of Numerators i.e. for 670,363 is 243210

GCF of denominators i.e. for 105,258 is 3.

Thus, LCM of Fractions is 81070.Finally, LCM of Fractions for 670/105, 363/258 is 81070.