Least Common Multiple of 4322/306, 3934/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4322/306, 3934/734 quickly i.e. 4250687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4322/306, 3934/734 is 4250687.

LCM(4322/306, 3934/734) = 4250687

LCM of 4322/306, 3934/734

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 4322/306,3934/734

Given numbers are 4322/306,3934/734

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 4322,3934

Least Common Multiple of Numerators i.e. LCM of 4322,3934 is 8501374.

GCF of Denominators means GCF of 306,734 as per the given fractions.

GCF of 306,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4322,3934

LCM of Fractions 4322/306,3934/734 is 4250687

2 4322, 3934
2161, 1967

∴ So the LCM of the given numbers is 2 x 2161 x 1967 = 8501374

Least Common Multiple of 4322,3934 with GCF Formula

Least Common Multiple of 4322,3934 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 4322,3934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4322,3934) = 2

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

GCF(4322,3934) x common factors =2 x 1 = 2

LCM(4322,3934) = ( 4322 × 3934 ) / 2

LCM(4322,3934) = 17002748 / 2

LCM(4322,3934) = 8501374


Lets's calculate GCF of 306,734

2 306, 734
153, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8501374/2

Therefore the LCM of Fractions 4322/306,3934/734 is 4250687

Greatest Common Factor of 306,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,734 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 306,734 . The biggest common factor number is the GCF number.
So the greatest common factor 306,734 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 4322/306, 3934/734

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 4322/306, 3934/734?

Answer: LCM of Numerators as per given numbers 4322/306, 3934/734 is

LCM of Numerators i.e. for 4322,3934 is 8501374

GCF of denominators i.e. for 306,734 is 2.

Thus, LCM of Fractions is 4250687.Finally, LCM of Fractions for 4322/306, 3934/734 is 4250687.