Least Common Multiple of 670/15, 466/1795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/15, 466/1795 quickly i.e. 31222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/15, 466/1795 is 31222.

LCM(670/15, 466/1795) = 31222

LCM of 670/15, 466/1795

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 670/15,466/1795

Given numbers are 670/15,466/1795

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 670,466

Least Common Multiple of Numerators i.e. LCM of 670,466 is 156110.

GCF of Denominators means GCF of 15,1795 as per the given fractions.

GCF of 15,1795 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,466

LCM of Fractions 670/15,466/1795 is 31222

2 670, 466
335, 233

∴ So the LCM of the given numbers is 2 x 335 x 233 = 156110

Least Common Multiple of 670,466 with GCF Formula

Least Common Multiple of 670,466 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 670,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,466) = 2

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

GCF(670,466) x common factors =2 x 1 = 2

LCM(670,466) = ( 670 × 466 ) / 2

LCM(670,466) = 312220 / 2

LCM(670,466) = 156110


Lets's calculate GCF of 15,1795

5 15, 1795
3, 359

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156110/5

Therefore the LCM of Fractions 670/15,466/1795 is 31222

Greatest Common Factor of 15,1795 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,1795 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 1795

List of positive integer factors of 1795 that divides 1795 without a remainder.

1,5,359,1795

Greatest Common Factor

We found the factors 15,1795 . The biggest common factor number is the GCF number.
So the greatest common factor 15,1795 is 5.


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 670/15, 466/1795

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 670/15, 466/1795?

Answer: LCM of Numerators as per given numbers 670/15, 466/1795 is

LCM of Numerators i.e. for 670,466 is 156110

GCF of denominators i.e. for 15,1795 is 5.

Thus, LCM of Fractions is 31222.Finally, LCM of Fractions for 670/15, 466/1795 is 31222.