Least Common Multiple of 862/46, 734/4522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/46, 734/4522 quickly i.e. 158177 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/46, 734/4522 is 158177.

LCM(862/46, 734/4522) = 158177

LCM of 862/46, 734/4522

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 862/46,734/4522

Given numbers are 862/46,734/4522

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 862,734

Least Common Multiple of Numerators i.e. LCM of 862,734 is 316354.

GCF of Denominators means GCF of 46,4522 as per the given fractions.

GCF of 46,4522 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,734

LCM of Fractions 862/46,734/4522 is 158177

2 862, 734
431, 367

∴ So the LCM of the given numbers is 2 x 431 x 367 = 316354

Least Common Multiple of 862,734 with GCF Formula

Least Common Multiple of 862,734 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 862,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,734) = 2

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

GCF(862,734) x common factors =2 x 1 = 2

LCM(862,734) = ( 862 × 734 ) / 2

LCM(862,734) = 632708 / 2

LCM(862,734) = 316354


Lets's calculate GCF of 46,4522

2 46, 4522
23, 2261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316354/2

Therefore the LCM of Fractions 862/46,734/4522 is 158177

Greatest Common Factor of 46,4522 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,4522 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 4522

List of positive integer factors of 4522 that divides 4522 without a remainder.

1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522

Greatest Common Factor

We found the factors 46,4522 . The biggest common factor number is the GCF number.
So the greatest common factor 46,4522 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 862/46, 734/4522

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 862/46, 734/4522?

Answer: LCM of Numerators as per given numbers 862/46, 734/4522 is

LCM of Numerators i.e. for 862,734 is 316354

GCF of denominators i.e. for 46,4522 is 2.

Thus, LCM of Fractions is 158177.Finally, LCM of Fractions for 862/46, 734/4522 is 158177.