Least Common Multiple of 78/352, 421/802, 784/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/352, 421/802, 784/776 quickly i.e. 6436248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/352, 421/802, 784/776 is 6436248.

LCM(78/352, 421/802, 784/776) = 6436248

LCM of 78/352, 421/802, 784/776

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 78/352,421/802,784/776

Given numbers are 78/352,421/802,784/776

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 78,421,784

Least Common Multiple of Numerators i.e. LCM of 78,421,784 is 12872496.

GCF of Denominators means GCF of 352,802,776 as per the given fractions.

GCF of 352,802,776 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,421,784

LCM of Fractions 78/352,421/802,784/776 is 6436248

2 78, 421, 784
39, 421, 392

∴ So the LCM of the given numbers is 2 x 39 x 421 x 392 = 12872496

Least Common Multiple of 78,421,784 with GCF Formula

Least Common Multiple of 78,421,784 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 78,421,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,421,784) = 1

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

GCF(78,421,784) x common factors =1 x 2 = 2

LCM(78,421,784) = ( 78 × 421 × 784 ) / 2

LCM(78,421,784) = 25744992 / 2

LCM(78,421,784) = 12872496


Lets's calculate GCF of 352,802,776

2 352, 802, 776
176, 401, 388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12872496/2

Therefore the LCM of Fractions 78/352,421/802,784/776 is 6436248

Greatest Common Factor of 352,802,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,802,776 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 352,802,776 . The biggest common factor number is the GCF number.
So the greatest common factor 352,802,776 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 78/352, 421/802, 784/776

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 78/352, 421/802, 784/776?

Answer: LCM of Numerators as per given numbers 78/352, 421/802, 784/776 is

LCM of Numerators i.e. for 78,421,784 is 12872496

GCF of denominators i.e. for 352,802,776 is 2.

Thus, LCM of Fractions is 6436248.Finally, LCM of Fractions for 78/352, 421/802, 784/776 is 6436248.