Least Common Multiple of 767/65, 988/3399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/65, 988/3399 quickly i.e. 58292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/65, 988/3399 is 58292.

LCM(767/65, 988/3399) = 58292

LCM of 767/65, 988/3399

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 767/65,988/3399

Given numbers are 767/65,988/3399

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 767,988

Least Common Multiple of Numerators i.e. LCM of 767,988 is 58292.

GCF of Denominators means GCF of 65,3399 as per the given fractions.

GCF of 65,3399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,988

LCM of Fractions 767/65,988/3399 is 58292

13 767, 988
59, 76

∴ So the LCM of the given numbers is 13 x 59 x 76 = 58292

Least Common Multiple of 767,988 with GCF Formula

Least Common Multiple of 767,988 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 767,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,988) = 13

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

GCF(767,988) x common factors =13 x 1 = 13

LCM(767,988) = ( 767 × 988 ) / 13

LCM(767,988) = 757796 / 13

LCM(767,988) = 58292


Lets's calculate GCF of 65,3399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58292/1

Therefore the LCM of Fractions 767/65,988/3399 is 58292

Greatest Common Factor of 65,3399 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,3399 By Matching Biggest Common Factor Method

Factors of 65

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

1,5,13,65

Factors of 3399

List of positive integer factors of 3399 that divides 3399 without a remainder.

1,3,11,33,103,309,1133,3399

Greatest Common Factor

We found the factors 65,3399 . The biggest common factor number is the GCF number.
So the greatest common factor 65,3399 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 767/65, 988/3399

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 767/65, 988/3399?

Answer: LCM of Numerators as per given numbers 767/65, 988/3399 is

LCM of Numerators i.e. for 767,988 is 58292

GCF of denominators i.e. for 65,3399 is 1.

Thus, LCM of Fractions is 58292.Finally, LCM of Fractions for 767/65, 988/3399 is 58292.