Least Common Multiple of 34/801, 272/824, 764/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/801, 272/824, 764/951 quickly i.e. 51952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/801, 272/824, 764/951 is 51952.

LCM(34/801, 272/824, 764/951) = 51952

LCM of 34/801, 272/824, 764/951

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 34/801,272/824,764/951

Given numbers are 34/801,272/824,764/951

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 34,272,764

Least Common Multiple of Numerators i.e. LCM of 34,272,764 is 51952.

GCF of Denominators means GCF of 801,824,951 as per the given fractions.

GCF of 801,824,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,272,764

LCM of Fractions 34/801,272/824,764/951 is 51952

2 34, 272, 764
2 17, 136, 382
17 17, 68, 191
1, 4, 191

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 4 x 191 = 51952

Least Common Multiple of 34,272,764 with GCF Formula

Least Common Multiple of 34,272,764 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 34,272,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,272,764) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(34,272,764) x common factors =2 x 68 = 136

LCM(34,272,764) = ( 34 × 272 × 764 ) / 136

LCM(34,272,764) = 7065472 / 136

LCM(34,272,764) = 51952


Lets's calculate GCF of 801,824,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51952/1

Therefore the LCM of Fractions 34/801,272/824,764/951 is 51952

Greatest Common Factor of 801,824,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,824,951 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 801,824,951 . The biggest common factor number is the GCF number.
So the greatest common factor 801,824,951 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 34/801, 272/824, 764/951

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 34/801, 272/824, 764/951?

Answer: LCM of Numerators as per given numbers 34/801, 272/824, 764/951 is

LCM of Numerators i.e. for 34,272,764 is 51952

GCF of denominators i.e. for 801,824,951 is 1.

Thus, LCM of Fractions is 51952.Finally, LCM of Fractions for 34/801, 272/824, 764/951 is 51952.