Least Common Multiple of 93/84, 992/78, 402/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/84, 992/78, 402/257 quickly i.e. 199392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/84, 992/78, 402/257 is 199392.

LCM(93/84, 992/78, 402/257) = 199392

LCM of 93/84, 992/78, 402/257

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 93/84,992/78,402/257

Given numbers are 93/84,992/78,402/257

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 93,992,402

Least Common Multiple of Numerators i.e. LCM of 93,992,402 is 199392.

GCF of Denominators means GCF of 84,78,257 as per the given fractions.

GCF of 84,78,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,992,402

LCM of Fractions 93/84,992/78,402/257 is 199392

2 93, 992, 402
3 93, 496, 201
31 31, 496, 67
1, 16, 67

∴ So the LCM of the given numbers is 2 x 3 x 31 x 1 x 16 x 67 = 199392

Least Common Multiple of 93,992,402 with GCF Formula

Least Common Multiple of 93,992,402 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 93,992,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,992,402) = 1

common factors(in case of two or more numbers have common factors) = 186

GCF(93,992,402) x common factors =1 x 186 = 186

LCM(93,992,402) = ( 93 × 992 × 402 ) / 186

LCM(93,992,402) = 37086912 / 186

LCM(93,992,402) = 199392


Lets's calculate GCF of 84,78,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199392/1

Therefore the LCM of Fractions 93/84,992/78,402/257 is 199392

Greatest Common Factor of 84,78,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,78,257 By Matching Biggest Common Factor Method

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 78

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

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

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 84,78,257 . The biggest common factor number is the GCF number.
So the greatest common factor 84,78,257 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 93/84, 992/78, 402/257

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 93/84, 992/78, 402/257?

Answer: LCM of Numerators as per given numbers 93/84, 992/78, 402/257 is

LCM of Numerators i.e. for 93,992,402 is 199392

GCF of denominators i.e. for 84,78,257 is 1.

Thus, LCM of Fractions is 199392.Finally, LCM of Fractions for 93/84, 992/78, 402/257 is 199392.