Least Common Multiple of 68/74, 80/34, 841/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/74, 80/34, 841/898 quickly i.e. 571880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/74, 80/34, 841/898 is 571880.

LCM(68/74, 80/34, 841/898) = 571880

LCM of 68/74, 80/34, 841/898

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 68/74,80/34,841/898

Given numbers are 68/74,80/34,841/898

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 68,80,841

Least Common Multiple of Numerators i.e. LCM of 68,80,841 is 1143760.

GCF of Denominators means GCF of 74,34,898 as per the given fractions.

GCF of 74,34,898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,80,841

LCM of Fractions 68/74,80/34,841/898 is 571880

2 68, 80, 841
2 34, 40, 841
17, 20, 841

∴ So the LCM of the given numbers is 2 x 2 x 17 x 20 x 841 = 1143760

Least Common Multiple of 68,80,841 with GCF Formula

Least Common Multiple of 68,80,841 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 68,80,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,80,841) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,80,841) x common factors =1 x 4 = 4

LCM(68,80,841) = ( 68 × 80 × 841 ) / 4

LCM(68,80,841) = 4575040 / 4

LCM(68,80,841) = 1143760


Lets's calculate GCF of 74,34,898

2 74, 34, 898
37, 17, 449

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1143760/2

Therefore the LCM of Fractions 68/74,80/34,841/898 is 571880

Greatest Common Factor of 74,34,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,34,898 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 74,34,898 . The biggest common factor number is the GCF number.
So the greatest common factor 74,34,898 is 2.


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 68/74, 80/34, 841/898

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 68/74, 80/34, 841/898?

Answer: LCM of Numerators as per given numbers 68/74, 80/34, 841/898 is

LCM of Numerators i.e. for 68,80,841 is 1143760

GCF of denominators i.e. for 74,34,898 is 2.

Thus, LCM of Fractions is 571880.Finally, LCM of Fractions for 68/74, 80/34, 841/898 is 571880.