Least Common Multiple of 58/320, 768/964, 494/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/320, 768/964, 494/678 quickly i.e. 2750592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/320, 768/964, 494/678 is 2750592.

LCM(58/320, 768/964, 494/678) = 2750592

LCM of 58/320, 768/964, 494/678

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 58/320,768/964,494/678

Given numbers are 58/320,768/964,494/678

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 58,768,494

Least Common Multiple of Numerators i.e. LCM of 58,768,494 is 5501184.

GCF of Denominators means GCF of 320,964,678 as per the given fractions.

GCF of 320,964,678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,768,494

LCM of Fractions 58/320,768/964,494/678 is 2750592

2 58, 768, 494
29, 384, 247

∴ So the LCM of the given numbers is 2 x 29 x 384 x 247 = 5501184

Least Common Multiple of 58,768,494 with GCF Formula

Least Common Multiple of 58,768,494 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 58,768,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,768,494) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(58,768,494) x common factors =2 x 2 = 4

LCM(58,768,494) = ( 58 × 768 × 494 ) / 4

LCM(58,768,494) = 22004736 / 4

LCM(58,768,494) = 5501184


Lets's calculate GCF of 320,964,678

2 320, 964, 678
160, 482, 339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5501184/2

Therefore the LCM of Fractions 58/320,768/964,494/678 is 2750592

Greatest Common Factor of 320,964,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,964,678 By Matching Biggest Common Factor Method

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 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 320,964,678 . The biggest common factor number is the GCF number.
So the greatest common factor 320,964,678 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 58/320, 768/964, 494/678

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 58/320, 768/964, 494/678?

Answer: LCM of Numerators as per given numbers 58/320, 768/964, 494/678 is

LCM of Numerators i.e. for 58,768,494 is 5501184

GCF of denominators i.e. for 320,964,678 is 2.

Thus, LCM of Fractions is 2750592.Finally, LCM of Fractions for 58/320, 768/964, 494/678 is 2750592.