Least Common Multiple of 93/784, 388/157, 912/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/784, 388/157, 912/262 quickly i.e. 2742384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/784, 388/157, 912/262 is 2742384.

LCM(93/784, 388/157, 912/262) = 2742384

LCM of 93/784, 388/157, 912/262

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 93/784,388/157,912/262

Given numbers are 93/784,388/157,912/262

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 93,388,912

Least Common Multiple of Numerators i.e. LCM of 93,388,912 is 2742384.

GCF of Denominators means GCF of 784,157,262 as per the given fractions.

GCF of 784,157,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,388,912

LCM of Fractions 93/784,388/157,912/262 is 2742384

2 93, 388, 912
2 93, 194, 456
3 93, 97, 228
31, 97, 76

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 97 x 76 = 2742384

Least Common Multiple of 93,388,912 with GCF Formula

Least Common Multiple of 93,388,912 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 93,388,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,388,912) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(93,388,912) x common factors =1 x 12 = 12

LCM(93,388,912) = ( 93 × 388 × 912 ) / 12

LCM(93,388,912) = 32908608 / 12

LCM(93,388,912) = 2742384


Lets's calculate GCF of 784,157,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2742384/1

Therefore the LCM of Fractions 93/784,388/157,912/262 is 2742384

Greatest Common Factor of 784,157,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,157,262 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 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 784,157,262 . The biggest common factor number is the GCF number.
So the greatest common factor 784,157,262 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 93/784, 388/157, 912/262

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 93/784, 388/157, 912/262?

Answer: LCM of Numerators as per given numbers 93/784, 388/157, 912/262 is

LCM of Numerators i.e. for 93,388,912 is 2742384

GCF of denominators i.e. for 784,157,262 is 1.

Thus, LCM of Fractions is 2742384.Finally, LCM of Fractions for 93/784, 388/157, 912/262 is 2742384.