Least Common Multiple of 966/89, 836/59, 273/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 966/89, 836/59, 273/834 quickly i.e. 5249244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/89, 836/59, 273/834 is 5249244.

LCM(966/89, 836/59, 273/834) = 5249244

LCM of 966/89, 836/59, 273/834

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 966/89,836/59,273/834

Given numbers are 966/89,836/59,273/834

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 966,836,273

Least Common Multiple of Numerators i.e. LCM of 966,836,273 is 5249244.

GCF of Denominators means GCF of 89,59,834 as per the given fractions.

GCF of 89,59,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,836,273

LCM of Fractions 966/89,836/59,273/834 is 5249244

2 966, 836, 273
3 483, 418, 273
7 161, 418, 91
23, 418, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 418 x 13 = 5249244

Least Common Multiple of 966,836,273 with GCF Formula

Least Common Multiple of 966,836,273 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 966,836,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,836,273) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(966,836,273) x common factors =1 x 42 = 42

LCM(966,836,273) = ( 966 × 836 × 273 ) / 42

LCM(966,836,273) = 220468248 / 42

LCM(966,836,273) = 5249244


Lets's calculate GCF of 89,59,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5249244/1

Therefore the LCM of Fractions 966/89,836/59,273/834 is 5249244

Greatest Common Factor of 89,59,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,59,834 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

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 89,59,834 . The biggest common factor number is the GCF number.
So the greatest common factor 89,59,834 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 966/89, 836/59, 273/834

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 966/89, 836/59, 273/834?

Answer: LCM of Numerators as per given numbers 966/89, 836/59, 273/834 is

LCM of Numerators i.e. for 966,836,273 is 5249244

GCF of denominators i.e. for 89,59,834 is 1.

Thus, LCM of Fractions is 5249244.Finally, LCM of Fractions for 966/89, 836/59, 273/834 is 5249244.