Least Common Multiple of 34/108, 592/110, 730/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/108, 592/110, 730/814 quickly i.e. 1836680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/108, 592/110, 730/814 is 1836680.

LCM(34/108, 592/110, 730/814) = 1836680

LCM of 34/108, 592/110, 730/814

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 34/108,592/110,730/814

Given numbers are 34/108,592/110,730/814

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 34,592,730

Least Common Multiple of Numerators i.e. LCM of 34,592,730 is 3673360.

GCF of Denominators means GCF of 108,110,814 as per the given fractions.

GCF of 108,110,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,592,730

LCM of Fractions 34/108,592/110,730/814 is 1836680

2 34, 592, 730
17, 296, 365

∴ So the LCM of the given numbers is 2 x 17 x 296 x 365 = 3673360

Least Common Multiple of 34,592,730 with GCF Formula

Least Common Multiple of 34,592,730 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 34,592,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,592,730) = 2

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

GCF(34,592,730) x common factors =2 x 2 = 4

LCM(34,592,730) = ( 34 × 592 × 730 ) / 4

LCM(34,592,730) = 14693440 / 4

LCM(34,592,730) = 3673360


Lets's calculate GCF of 108,110,814

2 108, 110, 814
54, 55, 407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3673360/2

Therefore the LCM of Fractions 34/108,592/110,730/814 is 1836680

Greatest Common Factor of 108,110,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,110,814 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 814

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

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

Greatest Common Factor

We found the factors 108,110,814 . The biggest common factor number is the GCF number.
So the greatest common factor 108,110,814 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 34/108, 592/110, 730/814

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 34/108, 592/110, 730/814?

Answer: LCM of Numerators as per given numbers 34/108, 592/110, 730/814 is

LCM of Numerators i.e. for 34,592,730 is 3673360

GCF of denominators i.e. for 108,110,814 is 2.

Thus, LCM of Fractions is 1836680.Finally, LCM of Fractions for 34/108, 592/110, 730/814 is 1836680.