Least Common Multiple of 457/399, 793/731, 915/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/399, 793/731, 915/786 quickly i.e. 5436015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/399, 793/731, 915/786 is 5436015.

LCM(457/399, 793/731, 915/786) = 5436015

LCM of 457/399, 793/731, 915/786

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 457/399,793/731,915/786

Given numbers are 457/399,793/731,915/786

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 457,793,915

Least Common Multiple of Numerators i.e. LCM of 457,793,915 is 5436015.

GCF of Denominators means GCF of 399,731,786 as per the given fractions.

GCF of 399,731,786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,793,915

LCM of Fractions 457/399,793/731,915/786 is 5436015

61 457, 793, 915
457, 13, 15

∴ So the LCM of the given numbers is 61 x 457 x 13 x 15 = 5436015

Least Common Multiple of 457,793,915 with GCF Formula

Least Common Multiple of 457,793,915 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 457,793,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,793,915) = 1

common factors(in case of two or more numbers have common factors) = 61

GCF(457,793,915) x common factors =1 x 61 = 61

LCM(457,793,915) = ( 457 × 793 × 915 ) / 61

LCM(457,793,915) = 331596915 / 61

LCM(457,793,915) = 5436015


Lets's calculate GCF of 399,731,786

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5436015/1

Therefore the LCM of Fractions 457/399,793/731,915/786 is 5436015

Greatest Common Factor of 399,731,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,731,786 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 731

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

1,17,43,731

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 399,731,786 . The biggest common factor number is the GCF number.
So the greatest common factor 399,731,786 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 457/399, 793/731, 915/786

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 457/399, 793/731, 915/786?

Answer: LCM of Numerators as per given numbers 457/399, 793/731, 915/786 is

LCM of Numerators i.e. for 457,793,915 is 5436015

GCF of denominators i.e. for 399,731,786 is 1.

Thus, LCM of Fractions is 5436015.Finally, LCM of Fractions for 457/399, 793/731, 915/786 is 5436015.