Least Common Multiple of 749/710, 199/320, 816/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/710, 199/320, 816/686 quickly i.e. 60812808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/710, 199/320, 816/686 is 60812808.

LCM(749/710, 199/320, 816/686) = 60812808

LCM of 749/710, 199/320, 816/686

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 749/710,199/320,816/686

Given numbers are 749/710,199/320,816/686

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 749,199,816

Least Common Multiple of Numerators i.e. LCM of 749,199,816 is 121625616.

GCF of Denominators means GCF of 710,320,686 as per the given fractions.

GCF of 710,320,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,199,816

LCM of Fractions 749/710,199/320,816/686 is 60812808

Given numbers has no common factors except 1. So, there LCM is their product i.e 121625616

Least Common Multiple of 749,199,816 with GCF Formula

Least Common Multiple of 749,199,816 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 749,199,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,199,816) = 1

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

GCF(749,199,816) x common factors =1 x 1 = 1

LCM(749,199,816) = ( 749 × 199 × 816 ) / 1

LCM(749,199,816) = 121625616 / 1

LCM(749,199,816) = 121625616


Lets's calculate GCF of 710,320,686

2 710, 320, 686
355, 160, 343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121625616/2

Therefore the LCM of Fractions 749/710,199/320,816/686 is 60812808

Greatest Common Factor of 710,320,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,320,686 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 710,320,686 . The biggest common factor number is the GCF number.
So the greatest common factor 710,320,686 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 749/710, 199/320, 816/686

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 749/710, 199/320, 816/686?

Answer: LCM of Numerators as per given numbers 749/710, 199/320, 816/686 is

LCM of Numerators i.e. for 749,199,816 is 121625616

GCF of denominators i.e. for 710,320,686 is 2.

Thus, LCM of Fractions is 60812808.Finally, LCM of Fractions for 749/710, 199/320, 816/686 is 60812808.