Least Common Multiple of 760/91, 768/9667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/91, 768/9667 quickly i.e. 72960/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/91, 768/9667 is 72960/7.

LCM(760/91, 768/9667) = 72960/7

LCM of 760/91, 768/9667

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 760/91,768/9667

Given numbers are 760/91,768/9667

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 760,768

Least Common Multiple of Numerators i.e. LCM of 760,768 is 72960.

GCF of Denominators means GCF of 91,9667 as per the given fractions.

GCF of 91,9667 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,768

LCM of Fractions 760/91,768/9667 is 72960/7

2 760, 768
2 380, 384
2 190, 192
95, 96

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 96 = 72960

Least Common Multiple of 760,768 with GCF Formula

Least Common Multiple of 760,768 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 760,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,768) = 8

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

GCF(760,768) x common factors =8 x 1 = 8

LCM(760,768) = ( 760 × 768 ) / 8

LCM(760,768) = 583680 / 8

LCM(760,768) = 72960


Lets's calculate GCF of 91,9667

7 91, 9667
13, 1381

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72960/7

Therefore the LCM of Fractions 760/91,768/9667 is 72960/7

Greatest Common Factor of 91,9667 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,9667 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1,7,1381,9667

Greatest Common Factor

We found the factors 91,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 91,9667 is 7.


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 760/91, 768/9667

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 760/91, 768/9667?

Answer: LCM of Numerators as per given numbers 760/91, 768/9667 is

LCM of Numerators i.e. for 760,768 is 72960

GCF of denominators i.e. for 91,9667 is 7.

Thus, LCM of Fractions is 72960/7.Finally, LCM of Fractions for 760/91, 768/9667 is 72960/7.