Least Common Multiple of 710/14, 951/33, 165/83

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 710/14, 951/33, 165/83 quickly i.e. 7427310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 710/14, 951/33, 165/83 is 7427310.

LCM(710/14, 951/33, 165/83) = 7427310

LCM of 710/14, 951/33, 165/83

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 710/14,951/33,165/83

Given numbers are 710/14,951/33,165/83

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 710,951,165

Least Common Multiple of Numerators i.e. LCM of 710,951,165 is 7427310.

GCF of Denominators means GCF of 14,33,83 as per the given fractions.

GCF of 14,33,83 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 710,951,165

LCM of Fractions 710/14,951/33,165/83 is 7427310

3 710, 951, 165
5 710, 317, 55
142, 317, 11

∴ So the LCM of the given numbers is 3 x 5 x 142 x 317 x 11 = 7427310

Least Common Multiple of 710,951,165 with GCF Formula

Least Common Multiple of 710,951,165 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 710,951,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,951,165) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(710,951,165) x common factors =1 x 15 = 15

LCM(710,951,165) = ( 710 × 951 × 165 ) / 15

LCM(710,951,165) = 111409650 / 15

LCM(710,951,165) = 7427310


Lets's calculate GCF of 14,33,83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7427310/1

Therefore the LCM of Fractions 710/14,951/33,165/83 is 7427310

Greatest Common Factor of 14,33,83 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,33,83 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Greatest Common Factor

We found the factors 14,33,83 . The biggest common factor number is the GCF number.
So the greatest common factor 14,33,83 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 710/14, 951/33, 165/83

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 710/14, 951/33, 165/83?

Answer: LCM of Numerators as per given numbers 710/14, 951/33, 165/83 is

LCM of Numerators i.e. for 710,951,165 is 7427310

GCF of denominators i.e. for 14,33,83 is 1.

Thus, LCM of Fractions is 7427310.Finally, LCM of Fractions for 710/14, 951/33, 165/83 is 7427310.