Least Common Multiple of 34/12, 307/56, 289/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/12, 307/56, 289/914 quickly i.e. 88723 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/12, 307/56, 289/914 is 88723.

LCM(34/12, 307/56, 289/914) = 88723

LCM of 34/12, 307/56, 289/914

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 34/12,307/56,289/914

Given numbers are 34/12,307/56,289/914

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 34,307,289

Least Common Multiple of Numerators i.e. LCM of 34,307,289 is 177446.

GCF of Denominators means GCF of 12,56,914 as per the given fractions.

GCF of 12,56,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,307,289

LCM of Fractions 34/12,307/56,289/914 is 88723

17 34, 307, 289
2, 307, 17

∴ So the LCM of the given numbers is 17 x 2 x 307 x 17 = 177446

Least Common Multiple of 34,307,289 with GCF Formula

Least Common Multiple of 34,307,289 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 34,307,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,307,289) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(34,307,289) x common factors =1 x 17 = 17

LCM(34,307,289) = ( 34 × 307 × 289 ) / 17

LCM(34,307,289) = 3016582 / 17

LCM(34,307,289) = 177446


Lets's calculate GCF of 12,56,914

2 12, 56, 914
6, 28, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177446/2

Therefore the LCM of Fractions 34/12,307/56,289/914 is 88723

Greatest Common Factor of 12,56,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,56,914 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 12,56,914 . The biggest common factor number is the GCF number.
So the greatest common factor 12,56,914 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 34/12, 307/56, 289/914

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 34/12, 307/56, 289/914?

Answer: LCM of Numerators as per given numbers 34/12, 307/56, 289/914 is

LCM of Numerators i.e. for 34,307,289 is 177446

GCF of denominators i.e. for 12,56,914 is 2.

Thus, LCM of Fractions is 88723.Finally, LCM of Fractions for 34/12, 307/56, 289/914 is 88723.