Least Common Multiple of 578/78, 407/84, 758/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/78, 407/84, 758/681 quickly i.e. 89158234/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/78, 407/84, 758/681 is 89158234/3.

LCM(578/78, 407/84, 758/681) = 89158234/3

LCM of 578/78, 407/84, 758/681

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 578/78,407/84,758/681

Given numbers are 578/78,407/84,758/681

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 578,407,758

Least Common Multiple of Numerators i.e. LCM of 578,407,758 is 89158234.

GCF of Denominators means GCF of 78,84,681 as per the given fractions.

GCF of 78,84,681 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,407,758

LCM of Fractions 578/78,407/84,758/681 is 89158234/3

2 578, 407, 758
289, 407, 379

∴ So the LCM of the given numbers is 2 x 289 x 407 x 379 = 89158234

Least Common Multiple of 578,407,758 with GCF Formula

Least Common Multiple of 578,407,758 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 578,407,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,407,758) = 1

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

GCF(578,407,758) x common factors =1 x 2 = 2

LCM(578,407,758) = ( 578 × 407 × 758 ) / 2

LCM(578,407,758) = 178316468 / 2

LCM(578,407,758) = 89158234


Lets's calculate GCF of 78,84,681

3 78, 84, 681
26, 28, 227

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89158234/3

Therefore the LCM of Fractions 578/78,407/84,758/681 is 89158234/3

Greatest Common Factor of 78,84,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,84,681 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 78,84,681 . The biggest common factor number is the GCF number.
So the greatest common factor 78,84,681 is 3.


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 578/78, 407/84, 758/681

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 578/78, 407/84, 758/681?

Answer: LCM of Numerators as per given numbers 578/78, 407/84, 758/681 is

LCM of Numerators i.e. for 578,407,758 is 89158234

GCF of denominators i.e. for 78,84,681 is 3.

Thus, LCM of Fractions is 89158234/3.Finally, LCM of Fractions for 578/78, 407/84, 758/681 is 89158234/3.