Least Common Multiple of 91/496, 391/690, 469/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/496, 391/690, 469/716 quickly i.e. 2383927/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/496, 391/690, 469/716 is 2383927/2.

LCM(91/496, 391/690, 469/716) = 2383927/2

LCM of 91/496, 391/690, 469/716

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 91/496,391/690,469/716

Given numbers are 91/496,391/690,469/716

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 91,391,469

Least Common Multiple of Numerators i.e. LCM of 91,391,469 is 2383927.

GCF of Denominators means GCF of 496,690,716 as per the given fractions.

GCF of 496,690,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,391,469

LCM of Fractions 91/496,391/690,469/716 is 2383927/2

7 91, 391, 469
13, 391, 67

∴ So the LCM of the given numbers is 7 x 13 x 391 x 67 = 2383927

Least Common Multiple of 91,391,469 with GCF Formula

Least Common Multiple of 91,391,469 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 91,391,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,391,469) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,391,469) x common factors =1 x 7 = 7

LCM(91,391,469) = ( 91 × 391 × 469 ) / 7

LCM(91,391,469) = 16687489 / 7

LCM(91,391,469) = 2383927


Lets's calculate GCF of 496,690,716

2 496, 690, 716
248, 345, 358

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2383927/2

Therefore the LCM of Fractions 91/496,391/690,469/716 is 2383927/2

Greatest Common Factor of 496,690,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,690,716 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 496,690,716 . The biggest common factor number is the GCF number.
So the greatest common factor 496,690,716 is 2.


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 91/496, 391/690, 469/716

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 91/496, 391/690, 469/716?

Answer: LCM of Numerators as per given numbers 91/496, 391/690, 469/716 is

LCM of Numerators i.e. for 91,391,469 is 2383927

GCF of denominators i.e. for 496,690,716 is 2.

Thus, LCM of Fractions is 2383927/2.Finally, LCM of Fractions for 91/496, 391/690, 469/716 is 2383927/2.