Least Common Multiple of 76/914, 71/201, 271/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/914, 71/201, 271/834 quickly i.e. 1462316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/914, 71/201, 271/834 is 1462316.

LCM(76/914, 71/201, 271/834) = 1462316

LCM of 76/914, 71/201, 271/834

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 76/914,71/201,271/834

Given numbers are 76/914,71/201,271/834

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 76,71,271

Least Common Multiple of Numerators i.e. LCM of 76,71,271 is 1462316.

GCF of Denominators means GCF of 914,201,834 as per the given fractions.

GCF of 914,201,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,71,271

LCM of Fractions 76/914,71/201,271/834 is 1462316

Given numbers has no common factors except 1. So, there LCM is their product i.e 1462316

Least Common Multiple of 76,71,271 with GCF Formula

Least Common Multiple of 76,71,271 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 76,71,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,71,271) = 1

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

GCF(76,71,271) x common factors =1 x 1 = 1

LCM(76,71,271) = ( 76 × 71 × 271 ) / 1

LCM(76,71,271) = 1462316 / 1

LCM(76,71,271) = 1462316


Lets's calculate GCF of 914,201,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1462316/1

Therefore the LCM of Fractions 76/914,71/201,271/834 is 1462316

Greatest Common Factor of 914,201,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,201,834 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 914,201,834 . The biggest common factor number is the GCF number.
So the greatest common factor 914,201,834 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 76/914, 71/201, 271/834

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 76/914, 71/201, 271/834?

Answer: LCM of Numerators as per given numbers 76/914, 71/201, 271/834 is

LCM of Numerators i.e. for 76,71,271 is 1462316

GCF of denominators i.e. for 914,201,834 is 1.

Thus, LCM of Fractions is 1462316.Finally, LCM of Fractions for 76/914, 71/201, 271/834 is 1462316.