Least Common Multiple of 742/105, 3398/3411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/105, 3398/3411 quickly i.e. 1260658/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/105, 3398/3411 is 1260658/3.

LCM(742/105, 3398/3411) = 1260658/3

LCM of 742/105, 3398/3411

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 742/105,3398/3411

Given numbers are 742/105,3398/3411

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 742,3398

Least Common Multiple of Numerators i.e. LCM of 742,3398 is 1260658.

GCF of Denominators means GCF of 105,3411 as per the given fractions.

GCF of 105,3411 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,3398

LCM of Fractions 742/105,3398/3411 is 1260658/3

2 742, 3398
371, 1699

∴ So the LCM of the given numbers is 2 x 371 x 1699 = 1260658

Least Common Multiple of 742,3398 with GCF Formula

Least Common Multiple of 742,3398 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 742,3398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,3398) = 2

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

GCF(742,3398) x common factors =2 x 1 = 2

LCM(742,3398) = ( 742 × 3398 ) / 2

LCM(742,3398) = 2521316 / 2

LCM(742,3398) = 1260658


Lets's calculate GCF of 105,3411

3 105, 3411
35, 1137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260658/3

Therefore the LCM of Fractions 742/105,3398/3411 is 1260658/3

Greatest Common Factor of 105,3411 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,3411 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 3411

List of positive integer factors of 3411 that divides 3411 without a remainder.

1,3,9,379,1137,3411

Greatest Common Factor

We found the factors 105,3411 . The biggest common factor number is the GCF number.
So the greatest common factor 105,3411 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 742/105, 3398/3411

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 742/105, 3398/3411?

Answer: LCM of Numerators as per given numbers 742/105, 3398/3411 is

LCM of Numerators i.e. for 742,3398 is 1260658

GCF of denominators i.e. for 105,3411 is 3.

Thus, LCM of Fractions is 1260658/3.Finally, LCM of Fractions for 742/105, 3398/3411 is 1260658/3.