Least Common Multiple of 34/144, 30/577, 397/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/144, 30/577, 397/364 quickly i.e. 202470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/144, 30/577, 397/364 is 202470.

LCM(34/144, 30/577, 397/364) = 202470

LCM of 34/144, 30/577, 397/364

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 34/144,30/577,397/364

Given numbers are 34/144,30/577,397/364

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 34,30,397

Least Common Multiple of Numerators i.e. LCM of 34,30,397 is 202470.

GCF of Denominators means GCF of 144,577,364 as per the given fractions.

GCF of 144,577,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,30,397

LCM of Fractions 34/144,30/577,397/364 is 202470

2 34, 30, 397
17, 15, 397

∴ So the LCM of the given numbers is 2 x 17 x 15 x 397 = 202470

Least Common Multiple of 34,30,397 with GCF Formula

Least Common Multiple of 34,30,397 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 34,30,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,30,397) = 1

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

GCF(34,30,397) x common factors =1 x 2 = 2

LCM(34,30,397) = ( 34 × 30 × 397 ) / 2

LCM(34,30,397) = 404940 / 2

LCM(34,30,397) = 202470


Lets's calculate GCF of 144,577,364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202470/1

Therefore the LCM of Fractions 34/144,30/577,397/364 is 202470

Greatest Common Factor of 144,577,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,577,364 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 144,577,364 . The biggest common factor number is the GCF number.
So the greatest common factor 144,577,364 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 34/144, 30/577, 397/364

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 34/144, 30/577, 397/364?

Answer: LCM of Numerators as per given numbers 34/144, 30/577, 397/364 is

LCM of Numerators i.e. for 34,30,397 is 202470

GCF of denominators i.e. for 144,577,364 is 1.

Thus, LCM of Fractions is 202470.Finally, LCM of Fractions for 34/144, 30/577, 397/364 is 202470.