Least Common Multiple of 72/712, 271/858, 802/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/712, 271/858, 802/734 quickly i.e. 3912156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/712, 271/858, 802/734 is 3912156.

LCM(72/712, 271/858, 802/734) = 3912156

LCM of 72/712, 271/858, 802/734

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 72/712,271/858,802/734

Given numbers are 72/712,271/858,802/734

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 72,271,802

Least Common Multiple of Numerators i.e. LCM of 72,271,802 is 7824312.

GCF of Denominators means GCF of 712,858,734 as per the given fractions.

GCF of 712,858,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,271,802

LCM of Fractions 72/712,271/858,802/734 is 3912156

2 72, 271, 802
36, 271, 401

∴ So the LCM of the given numbers is 2 x 36 x 271 x 401 = 7824312

Least Common Multiple of 72,271,802 with GCF Formula

Least Common Multiple of 72,271,802 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 72,271,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,271,802) = 1

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

GCF(72,271,802) x common factors =1 x 2 = 2

LCM(72,271,802) = ( 72 × 271 × 802 ) / 2

LCM(72,271,802) = 15648624 / 2

LCM(72,271,802) = 7824312


Lets's calculate GCF of 712,858,734

2 712, 858, 734
356, 429, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7824312/2

Therefore the LCM of Fractions 72/712,271/858,802/734 is 3912156

Greatest Common Factor of 712,858,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,858,734 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

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 712,858,734 . The biggest common factor number is the GCF number.
So the greatest common factor 712,858,734 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 72/712, 271/858, 802/734

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 72/712, 271/858, 802/734?

Answer: LCM of Numerators as per given numbers 72/712, 271/858, 802/734 is

LCM of Numerators i.e. for 72,271,802 is 7824312

GCF of denominators i.e. for 712,858,734 is 2.

Thus, LCM of Fractions is 3912156.Finally, LCM of Fractions for 72/712, 271/858, 802/734 is 3912156.