Least Common Multiple of 84/784, 92/422, 431/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/784, 92/422, 431/778 quickly i.e. 416346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/784, 92/422, 431/778 is 416346.

LCM(84/784, 92/422, 431/778) = 416346

LCM of 84/784, 92/422, 431/778

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 84/784,92/422,431/778

Given numbers are 84/784,92/422,431/778

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 84,92,431

Least Common Multiple of Numerators i.e. LCM of 84,92,431 is 832692.

GCF of Denominators means GCF of 784,422,778 as per the given fractions.

GCF of 784,422,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,92,431

LCM of Fractions 84/784,92/422,431/778 is 416346

2 84, 92, 431
2 42, 46, 431
21, 23, 431

∴ So the LCM of the given numbers is 2 x 2 x 21 x 23 x 431 = 832692

Least Common Multiple of 84,92,431 with GCF Formula

Least Common Multiple of 84,92,431 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 84,92,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,92,431) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,92,431) x common factors =1 x 4 = 4

LCM(84,92,431) = ( 84 × 92 × 431 ) / 4

LCM(84,92,431) = 3330768 / 4

LCM(84,92,431) = 832692


Lets's calculate GCF of 784,422,778

2 784, 422, 778
392, 211, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 832692/2

Therefore the LCM of Fractions 84/784,92/422,431/778 is 416346

Greatest Common Factor of 784,422,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,422,778 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 784,422,778 . The biggest common factor number is the GCF number.
So the greatest common factor 784,422,778 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 84/784, 92/422, 431/778

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 84/784, 92/422, 431/778?

Answer: LCM of Numerators as per given numbers 84/784, 92/422, 431/778 is

LCM of Numerators i.e. for 84,92,431 is 832692

GCF of denominators i.e. for 784,422,778 is 2.

Thus, LCM of Fractions is 416346.Finally, LCM of Fractions for 84/784, 92/422, 431/778 is 416346.