Least Common Multiple of 337/19, 705/74, 413/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 337/19, 705/74, 413/646 quickly i.e. 98122605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 337/19, 705/74, 413/646 is 98122605.

LCM(337/19, 705/74, 413/646) = 98122605

LCM of 337/19, 705/74, 413/646

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 337/19,705/74,413/646

Given numbers are 337/19,705/74,413/646

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 337,705,413

Least Common Multiple of Numerators i.e. LCM of 337,705,413 is 98122605.

GCF of Denominators means GCF of 19,74,646 as per the given fractions.

GCF of 19,74,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 337,705,413

LCM of Fractions 337/19,705/74,413/646 is 98122605

Given numbers has no common factors except 1. So, there LCM is their product i.e 98122605

Least Common Multiple of 337,705,413 with GCF Formula

Least Common Multiple of 337,705,413 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 337,705,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,705,413) = 1

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

GCF(337,705,413) x common factors =1 x 1 = 1

LCM(337,705,413) = ( 337 × 705 × 413 ) / 1

LCM(337,705,413) = 98122605 / 1

LCM(337,705,413) = 98122605


Lets's calculate GCF of 19,74,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98122605/1

Therefore the LCM of Fractions 337/19,705/74,413/646 is 98122605

Greatest Common Factor of 19,74,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,74,646 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 19,74,646 . The biggest common factor number is the GCF number.
So the greatest common factor 19,74,646 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 337/19, 705/74, 413/646

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 337/19, 705/74, 413/646?

Answer: LCM of Numerators as per given numbers 337/19, 705/74, 413/646 is

LCM of Numerators i.e. for 337,705,413 is 98122605

GCF of denominators i.e. for 19,74,646 is 1.

Thus, LCM of Fractions is 98122605.Finally, LCM of Fractions for 337/19, 705/74, 413/646 is 98122605.