Least Common Multiple of 34/69, 67/35, 60/73, 55/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/69, 67/35, 60/73, 55/398 quickly i.e. 751740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/69, 67/35, 60/73, 55/398 is 751740.

LCM(34/69, 67/35, 60/73, 55/398) = 751740

LCM of 34/69, 67/35, 60/73, 55/398

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 34/69,67/35,60/73,55/398

Given numbers are 34/69,67/35,60/73,55/398

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 34,67,60,55

Least Common Multiple of Numerators i.e. LCM of 34,67,60,55 is 751740.

GCF of Denominators means GCF of 69,35,73,398 as per the given fractions.

GCF of 69,35,73,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,67,60,55

LCM of Fractions 34/69,67/35,60/73,55/398 is 751740

2 34, 67, 60, 55
5 17, 67, 30, 55
17, 67, 6, 11

∴ So the LCM of the given numbers is 2 x 5 x 17 x 67 x 6 x 11 = 751740

Least Common Multiple of 34,67,60,55 with GCF Formula

Least Common Multiple of 34,67,60,55 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 34,67,60,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,67,60,55) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(34,67,60,55) x common factors =1 x 10 = 10

LCM(34,67,60,55) = ( 34 × 67 × 60 × 55 ) / 10

LCM(34,67,60,55) = 7517400 / 10

LCM(34,67,60,55) = 751740


Lets's calculate GCF of 69,35,73,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 751740/1

Therefore the LCM of Fractions 34/69,67/35,60/73,55/398 is 751740

Greatest Common Factor of 69,35,73,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,35,73,398 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 69,35,73,398 . The biggest common factor number is the GCF number.
So the greatest common factor 69,35,73,398 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 34/69, 67/35, 60/73, 55/398

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 34/69, 67/35, 60/73, 55/398?

Answer: LCM of Numerators as per given numbers 34/69, 67/35, 60/73, 55/398 is

LCM of Numerators i.e. for 34,67,60,55 is 751740

GCF of denominators i.e. for 69,35,73,398 is 1.

Thus, LCM of Fractions is 751740.Finally, LCM of Fractions for 34/69, 67/35, 60/73, 55/398 is 751740.