Least Common Multiple of 71/707, 32/467, 810/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/707, 32/467, 810/762 quickly i.e. 920160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/707, 32/467, 810/762 is 920160.

LCM(71/707, 32/467, 810/762) = 920160

LCM of 71/707, 32/467, 810/762

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 71/707,32/467,810/762

Given numbers are 71/707,32/467,810/762

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 71,32,810

Least Common Multiple of Numerators i.e. LCM of 71,32,810 is 920160.

GCF of Denominators means GCF of 707,467,762 as per the given fractions.

GCF of 707,467,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,32,810

LCM of Fractions 71/707,32/467,810/762 is 920160

2 71, 32, 810
71, 16, 405

∴ So the LCM of the given numbers is 2 x 71 x 16 x 405 = 920160

Least Common Multiple of 71,32,810 with GCF Formula

Least Common Multiple of 71,32,810 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 71,32,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,32,810) = 1

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

GCF(71,32,810) x common factors =1 x 2 = 2

LCM(71,32,810) = ( 71 × 32 × 810 ) / 2

LCM(71,32,810) = 1840320 / 2

LCM(71,32,810) = 920160


Lets's calculate GCF of 707,467,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 920160/1

Therefore the LCM of Fractions 71/707,32/467,810/762 is 920160

Greatest Common Factor of 707,467,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,467,762 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 707,467,762 . The biggest common factor number is the GCF number.
So the greatest common factor 707,467,762 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 71/707, 32/467, 810/762

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 71/707, 32/467, 810/762?

Answer: LCM of Numerators as per given numbers 71/707, 32/467, 810/762 is

LCM of Numerators i.e. for 71,32,810 is 920160

GCF of denominators i.e. for 707,467,762 is 1.

Thus, LCM of Fractions is 920160.Finally, LCM of Fractions for 71/707, 32/467, 810/762 is 920160.