Least Common Multiple of 722/65, 914/2710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/65, 914/2710 quickly i.e. 329954/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/65, 914/2710 is 329954/5.

LCM(722/65, 914/2710) = 329954/5

LCM of 722/65, 914/2710

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 722/65,914/2710

Given numbers are 722/65,914/2710

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 722,914

Least Common Multiple of Numerators i.e. LCM of 722,914 is 329954.

GCF of Denominators means GCF of 65,2710 as per the given fractions.

GCF of 65,2710 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,914

LCM of Fractions 722/65,914/2710 is 329954/5

2 722, 914
361, 457

∴ So the LCM of the given numbers is 2 x 361 x 457 = 329954

Least Common Multiple of 722,914 with GCF Formula

Least Common Multiple of 722,914 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 722,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,914) = 2

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

GCF(722,914) x common factors =2 x 1 = 2

LCM(722,914) = ( 722 × 914 ) / 2

LCM(722,914) = 659908 / 2

LCM(722,914) = 329954


Lets's calculate GCF of 65,2710

5 65, 2710
13, 542

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329954/5

Therefore the LCM of Fractions 722/65,914/2710 is 329954/5

Greatest Common Factor of 65,2710 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,2710 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 2710

List of positive integer factors of 2710 that divides 2710 without a remainder.

1,2,5,10,271,542,1355,2710

Greatest Common Factor

We found the factors 65,2710 . The biggest common factor number is the GCF number.
So the greatest common factor 65,2710 is 5.


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 722/65, 914/2710

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 722/65, 914/2710?

Answer: LCM of Numerators as per given numbers 722/65, 914/2710 is

LCM of Numerators i.e. for 722,914 is 329954

GCF of denominators i.e. for 65,2710 is 5.

Thus, LCM of Fractions is 329954/5.Finally, LCM of Fractions for 722/65, 914/2710 is 329954/5.