Least Common Multiple of 68/740, 161/814, 610/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/740, 161/814, 610/741 quickly i.e. 3339140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/740, 161/814, 610/741 is 3339140.

LCM(68/740, 161/814, 610/741) = 3339140

LCM of 68/740, 161/814, 610/741

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 68/740,161/814,610/741

Given numbers are 68/740,161/814,610/741

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 68,161,610

Least Common Multiple of Numerators i.e. LCM of 68,161,610 is 3339140.

GCF of Denominators means GCF of 740,814,741 as per the given fractions.

GCF of 740,814,741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,161,610

LCM of Fractions 68/740,161/814,610/741 is 3339140

2 68, 161, 610
34, 161, 305

∴ So the LCM of the given numbers is 2 x 34 x 161 x 305 = 3339140

Least Common Multiple of 68,161,610 with GCF Formula

Least Common Multiple of 68,161,610 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 68,161,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,161,610) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,161,610) x common factors =1 x 2 = 2

LCM(68,161,610) = ( 68 × 161 × 610 ) / 2

LCM(68,161,610) = 6678280 / 2

LCM(68,161,610) = 3339140


Lets's calculate GCF of 740,814,741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3339140/1

Therefore the LCM of Fractions 68/740,161/814,610/741 is 3339140

Greatest Common Factor of 740,814,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,814,741 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 740,814,741 . The biggest common factor number is the GCF number.
So the greatest common factor 740,814,741 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 68/740, 161/814, 610/741

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 68/740, 161/814, 610/741?

Answer: LCM of Numerators as per given numbers 68/740, 161/814, 610/741 is

LCM of Numerators i.e. for 68,161,610 is 3339140

GCF of denominators i.e. for 740,814,741 is 1.

Thus, LCM of Fractions is 3339140.Finally, LCM of Fractions for 68/740, 161/814, 610/741 is 3339140.