Least Common Multiple of 768/69, 320/94, 692/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/69, 320/94, 692/919 quickly i.e. 664320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/69, 320/94, 692/919 is 664320.

LCM(768/69, 320/94, 692/919) = 664320

LCM of 768/69, 320/94, 692/919

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 768/69,320/94,692/919

Given numbers are 768/69,320/94,692/919

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 768,320,692

Least Common Multiple of Numerators i.e. LCM of 768,320,692 is 664320.

GCF of Denominators means GCF of 69,94,919 as per the given fractions.

GCF of 69,94,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,320,692

LCM of Fractions 768/69,320/94,692/919 is 664320

2 768, 320, 692
2 384, 160, 346
2 192, 80, 173
2 96, 40, 173
2 48, 20, 173
2 24, 10, 173
12, 5, 173

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 12 x 5 x 173 = 664320

Least Common Multiple of 768,320,692 with GCF Formula

Least Common Multiple of 768,320,692 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 768,320,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,320,692) = 4

common factors(in case of two or more numbers have common factors) = 64

GCF(768,320,692) x common factors =4 x 64 = 256

LCM(768,320,692) = ( 768 × 320 × 692 ) / 256

LCM(768,320,692) = 170065920 / 256

LCM(768,320,692) = 664320


Lets's calculate GCF of 69,94,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664320/1

Therefore the LCM of Fractions 768/69,320/94,692/919 is 664320

Greatest Common Factor of 69,94,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,94,919 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 69,94,919 . The biggest common factor number is the GCF number.
So the greatest common factor 69,94,919 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 768/69, 320/94, 692/919

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 768/69, 320/94, 692/919?

Answer: LCM of Numerators as per given numbers 768/69, 320/94, 692/919 is

LCM of Numerators i.e. for 768,320,692 is 664320

GCF of denominators i.e. for 69,94,919 is 1.

Thus, LCM of Fractions is 664320.Finally, LCM of Fractions for 768/69, 320/94, 692/919 is 664320.