Least Common Multiple of 497/263, 623/731, 836/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 497/263, 623/731, 836/646 quickly i.e. 36978788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/263, 623/731, 836/646 is 36978788.

LCM(497/263, 623/731, 836/646) = 36978788

LCM of 497/263, 623/731, 836/646

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 497/263,623/731,836/646

Given numbers are 497/263,623/731,836/646

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 497,623,836

Least Common Multiple of Numerators i.e. LCM of 497,623,836 is 36978788.

GCF of Denominators means GCF of 263,731,646 as per the given fractions.

GCF of 263,731,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,623,836

LCM of Fractions 497/263,623/731,836/646 is 36978788

7 497, 623, 836
71, 89, 836

∴ So the LCM of the given numbers is 7 x 71 x 89 x 836 = 36978788

Least Common Multiple of 497,623,836 with GCF Formula

Least Common Multiple of 497,623,836 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 497,623,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,623,836) = 1

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

GCF(497,623,836) x common factors =1 x 7 = 7

LCM(497,623,836) = ( 497 × 623 × 836 ) / 7

LCM(497,623,836) = 258851516 / 7

LCM(497,623,836) = 36978788


Lets's calculate GCF of 263,731,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36978788/1

Therefore the LCM of Fractions 497/263,623/731,836/646 is 36978788

Greatest Common Factor of 263,731,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,731,646 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 263,731,646 . The biggest common factor number is the GCF number.
So the greatest common factor 263,731,646 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 497/263, 623/731, 836/646

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 497/263, 623/731, 836/646?

Answer: LCM of Numerators as per given numbers 497/263, 623/731, 836/646 is

LCM of Numerators i.e. for 497,623,836 is 36978788

GCF of denominators i.e. for 263,731,646 is 1.

Thus, LCM of Fractions is 36978788.Finally, LCM of Fractions for 497/263, 623/731, 836/646 is 36978788.