Least Common Multiple of 749/31, 787/6734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/31, 787/6734 quickly i.e. 589463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/31, 787/6734 is 589463.

LCM(749/31, 787/6734) = 589463

LCM of 749/31, 787/6734

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 749/31,787/6734

Given numbers are 749/31,787/6734

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 749,787

Least Common Multiple of Numerators i.e. LCM of 749,787 is 589463.

GCF of Denominators means GCF of 31,6734 as per the given fractions.

GCF of 31,6734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,787

LCM of Fractions 749/31,787/6734 is 589463

Given numbers has no common factors except 1. So, there LCM is their product i.e 589463

Least Common Multiple of 749,787 with GCF Formula

Least Common Multiple of 749,787 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 749,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,787) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(749,787) x common factors =1 x 1 = 1

LCM(749,787) = ( 749 × 787 ) / 1

LCM(749,787) = 589463 / 1

LCM(749,787) = 589463


Lets's calculate GCF of 31,6734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589463/1

Therefore the LCM of Fractions 749/31,787/6734 is 589463

Greatest Common Factor of 31,6734 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,6734 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734

Greatest Common Factor

We found the factors 31,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 31,6734 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 749/31, 787/6734

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 749/31, 787/6734?

Answer: LCM of Numerators as per given numbers 749/31, 787/6734 is

LCM of Numerators i.e. for 749,787 is 589463

GCF of denominators i.e. for 31,6734 is 1.

Thus, LCM of Fractions is 589463.Finally, LCM of Fractions for 749/31, 787/6734 is 589463.