Least Common Multiple of 762/72, 998/22, 247/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 762/72, 998/22, 247/817 quickly i.e. 93918786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/72, 998/22, 247/817 is 93918786.

LCM(762/72, 998/22, 247/817) = 93918786

LCM of 762/72, 998/22, 247/817

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 762/72,998/22,247/817

Given numbers are 762/72,998/22,247/817

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 762,998,247

Least Common Multiple of Numerators i.e. LCM of 762,998,247 is 93918786.

GCF of Denominators means GCF of 72,22,817 as per the given fractions.

GCF of 72,22,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,998,247

LCM of Fractions 762/72,998/22,247/817 is 93918786

2 762, 998, 247
381, 499, 247

∴ So the LCM of the given numbers is 2 x 381 x 499 x 247 = 93918786

Least Common Multiple of 762,998,247 with GCF Formula

Least Common Multiple of 762,998,247 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 762,998,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,998,247) = 1

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

GCF(762,998,247) x common factors =1 x 2 = 2

LCM(762,998,247) = ( 762 × 998 × 247 ) / 2

LCM(762,998,247) = 187837572 / 2

LCM(762,998,247) = 93918786


Lets's calculate GCF of 72,22,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93918786/1

Therefore the LCM of Fractions 762/72,998/22,247/817 is 93918786

Greatest Common Factor of 72,22,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,22,817 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 72,22,817 . The biggest common factor number is the GCF number.
So the greatest common factor 72,22,817 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 762/72, 998/22, 247/817

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 762/72, 998/22, 247/817?

Answer: LCM of Numerators as per given numbers 762/72, 998/22, 247/817 is

LCM of Numerators i.e. for 762,998,247 is 93918786

GCF of denominators i.e. for 72,22,817 is 1.

Thus, LCM of Fractions is 93918786.Finally, LCM of Fractions for 762/72, 998/22, 247/817 is 93918786.