Least Common Multiple of 17/196, 61/807, 370/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/196, 61/807, 370/449 quickly i.e. 383690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/196, 61/807, 370/449 is 383690.

LCM(17/196, 61/807, 370/449) = 383690

LCM of 17/196, 61/807, 370/449

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 17/196,61/807,370/449

Given numbers are 17/196,61/807,370/449

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 17,61,370

Least Common Multiple of Numerators i.e. LCM of 17,61,370 is 383690.

GCF of Denominators means GCF of 196,807,449 as per the given fractions.

GCF of 196,807,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,61,370

LCM of Fractions 17/196,61/807,370/449 is 383690

Given numbers has no common factors except 1. So, there LCM is their product i.e 383690

Least Common Multiple of 17,61,370 with GCF Formula

Least Common Multiple of 17,61,370 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 17,61,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,61,370) = 1

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

GCF(17,61,370) x common factors =1 x 1 = 1

LCM(17,61,370) = ( 17 × 61 × 370 ) / 1

LCM(17,61,370) = 383690 / 1

LCM(17,61,370) = 383690


Lets's calculate GCF of 196,807,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383690/1

Therefore the LCM of Fractions 17/196,61/807,370/449 is 383690

Greatest Common Factor of 196,807,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,807,449 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 196,807,449 . The biggest common factor number is the GCF number.
So the greatest common factor 196,807,449 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 17/196, 61/807, 370/449

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 17/196, 61/807, 370/449?

Answer: LCM of Numerators as per given numbers 17/196, 61/807, 370/449 is

LCM of Numerators i.e. for 17,61,370 is 383690

GCF of denominators i.e. for 196,807,449 is 1.

Thus, LCM of Fractions is 383690.Finally, LCM of Fractions for 17/196, 61/807, 370/449 is 383690.