Least Common Multiple of 34/670, 349/226, 743/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/670, 349/226, 743/110 quickly i.e. 4408219 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/670, 349/226, 743/110 is 4408219.

LCM(34/670, 349/226, 743/110) = 4408219

LCM of 34/670, 349/226, 743/110

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 34/670,349/226,743/110

Given numbers are 34/670,349/226,743/110

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 34,349,743

Least Common Multiple of Numerators i.e. LCM of 34,349,743 is 8816438.

GCF of Denominators means GCF of 670,226,110 as per the given fractions.

GCF of 670,226,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,349,743

LCM of Fractions 34/670,349/226,743/110 is 4408219

Given numbers has no common factors except 1. So, there LCM is their product i.e 8816438

Least Common Multiple of 34,349,743 with GCF Formula

Least Common Multiple of 34,349,743 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 34,349,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,349,743) = 1

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

GCF(34,349,743) x common factors =1 x 1 = 1

LCM(34,349,743) = ( 34 × 349 × 743 ) / 1

LCM(34,349,743) = 8816438 / 1

LCM(34,349,743) = 8816438


Lets's calculate GCF of 670,226,110

2 670, 226, 110
335, 113, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8816438/2

Therefore the LCM of Fractions 34/670,349/226,743/110 is 4408219

Greatest Common Factor of 670,226,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,226,110 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 110

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

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

Greatest Common Factor

We found the factors 670,226,110 . The biggest common factor number is the GCF number.
So the greatest common factor 670,226,110 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 34/670, 349/226, 743/110

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 34/670, 349/226, 743/110?

Answer: LCM of Numerators as per given numbers 34/670, 349/226, 743/110 is

LCM of Numerators i.e. for 34,349,743 is 8816438

GCF of denominators i.e. for 670,226,110 is 2.

Thus, LCM of Fractions is 4408219.Finally, LCM of Fractions for 34/670, 349/226, 743/110 is 4408219.