Least Common Multiple of 497/12, 917/65, 278/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 497/12, 917/65, 278/563 quickly i.e. 18099746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/12, 917/65, 278/563 is 18099746.

LCM(497/12, 917/65, 278/563) = 18099746

LCM of 497/12, 917/65, 278/563

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 497/12,917/65,278/563

Given numbers are 497/12,917/65,278/563

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 497,917,278

Least Common Multiple of Numerators i.e. LCM of 497,917,278 is 18099746.

GCF of Denominators means GCF of 12,65,563 as per the given fractions.

GCF of 12,65,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,917,278

LCM of Fractions 497/12,917/65,278/563 is 18099746

7 497, 917, 278
71, 131, 278

∴ So the LCM of the given numbers is 7 x 71 x 131 x 278 = 18099746

Least Common Multiple of 497,917,278 with GCF Formula

Least Common Multiple of 497,917,278 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 497,917,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,917,278) = 1

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

GCF(497,917,278) x common factors =1 x 7 = 7

LCM(497,917,278) = ( 497 × 917 × 278 ) / 7

LCM(497,917,278) = 126698222 / 7

LCM(497,917,278) = 18099746


Lets's calculate GCF of 12,65,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18099746/1

Therefore the LCM of Fractions 497/12,917/65,278/563 is 18099746

Greatest Common Factor of 12,65,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,65,563 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 12,65,563 . The biggest common factor number is the GCF number.
So the greatest common factor 12,65,563 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 497/12, 917/65, 278/563

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 497/12, 917/65, 278/563?

Answer: LCM of Numerators as per given numbers 497/12, 917/65, 278/563 is

LCM of Numerators i.e. for 497,917,278 is 18099746

GCF of denominators i.e. for 12,65,563 is 1.

Thus, LCM of Fractions is 18099746.Finally, LCM of Fractions for 497/12, 917/65, 278/563 is 18099746.