Least Common Multiple of 46/719, 43/286, 306/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/719, 43/286, 306/977 quickly i.e. 302634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/719, 43/286, 306/977 is 302634.

LCM(46/719, 43/286, 306/977) = 302634

LCM of 46/719, 43/286, 306/977

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 46/719,43/286,306/977

Given numbers are 46/719,43/286,306/977

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 46,43,306

Least Common Multiple of Numerators i.e. LCM of 46,43,306 is 302634.

GCF of Denominators means GCF of 719,286,977 as per the given fractions.

GCF of 719,286,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,43,306

LCM of Fractions 46/719,43/286,306/977 is 302634

2 46, 43, 306
23, 43, 153

∴ So the LCM of the given numbers is 2 x 23 x 43 x 153 = 302634

Least Common Multiple of 46,43,306 with GCF Formula

Least Common Multiple of 46,43,306 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 46,43,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,43,306) = 1

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

GCF(46,43,306) x common factors =1 x 2 = 2

LCM(46,43,306) = ( 46 × 43 × 306 ) / 2

LCM(46,43,306) = 605268 / 2

LCM(46,43,306) = 302634


Lets's calculate GCF of 719,286,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302634/1

Therefore the LCM of Fractions 46/719,43/286,306/977 is 302634

Greatest Common Factor of 719,286,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,286,977 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 719,286,977 . The biggest common factor number is the GCF number.
So the greatest common factor 719,286,977 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 46/719, 43/286, 306/977

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 46/719, 43/286, 306/977?

Answer: LCM of Numerators as per given numbers 46/719, 43/286, 306/977 is

LCM of Numerators i.e. for 46,43,306 is 302634

GCF of denominators i.e. for 719,286,977 is 1.

Thus, LCM of Fractions is 302634.Finally, LCM of Fractions for 46/719, 43/286, 306/977 is 302634.