Least Common Multiple of 445/15, 6998/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 445/15, 6998/340 quickly i.e. 622822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 445/15, 6998/340 is 622822.

LCM(445/15, 6998/340) = 622822

LCM of 445/15, 6998/340

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 445/15,6998/340

Given numbers are 445/15,6998/340

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 445,6998

Least Common Multiple of Numerators i.e. LCM of 445,6998 is 3114110.

GCF of Denominators means GCF of 15,340 as per the given fractions.

GCF of 15,340 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 445,6998

LCM of Fractions 445/15,6998/340 is 622822

Given numbers has no common factors except 1. So, there LCM is their product i.e 3114110

Least Common Multiple of 445,6998 with GCF Formula

Least Common Multiple of 445,6998 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 445,6998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,6998) = 1

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

GCF(445,6998) x common factors =1 x 1 = 1

LCM(445,6998) = ( 445 × 6998 ) / 1

LCM(445,6998) = 3114110 / 1

LCM(445,6998) = 3114110


Lets's calculate GCF of 15,340

5 15, 340
3, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3114110/5

Therefore the LCM of Fractions 445/15,6998/340 is 622822

Greatest Common Factor of 15,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,340 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 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 15,340 . The biggest common factor number is the GCF number.
So the greatest common factor 15,340 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 445/15, 6998/340

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 445/15, 6998/340?

Answer: LCM of Numerators as per given numbers 445/15, 6998/340 is

LCM of Numerators i.e. for 445,6998 is 3114110

GCF of denominators i.e. for 15,340 is 5.

Thus, LCM of Fractions is 622822.Finally, LCM of Fractions for 445/15, 6998/340 is 622822.