Least Common Multiple of 83/94, 90/28, 456/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/94, 90/28, 456/784 quickly i.e. 283860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/94, 90/28, 456/784 is 283860.

LCM(83/94, 90/28, 456/784) = 283860

LCM of 83/94, 90/28, 456/784

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 83/94,90/28,456/784

Given numbers are 83/94,90/28,456/784

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 83,90,456

Least Common Multiple of Numerators i.e. LCM of 83,90,456 is 567720.

GCF of Denominators means GCF of 94,28,784 as per the given fractions.

GCF of 94,28,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,90,456

LCM of Fractions 83/94,90/28,456/784 is 283860

2 83, 90, 456
3 83, 45, 228
83, 15, 76

∴ So the LCM of the given numbers is 2 x 3 x 83 x 15 x 76 = 567720

Least Common Multiple of 83,90,456 with GCF Formula

Least Common Multiple of 83,90,456 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 83,90,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,90,456) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(83,90,456) x common factors =1 x 6 = 6

LCM(83,90,456) = ( 83 × 90 × 456 ) / 6

LCM(83,90,456) = 3406320 / 6

LCM(83,90,456) = 567720


Lets's calculate GCF of 94,28,784

2 94, 28, 784
47, 14, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 567720/2

Therefore the LCM of Fractions 83/94,90/28,456/784 is 283860

Greatest Common Factor of 94,28,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,28,784 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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

Greatest Common Factor

We found the factors 94,28,784 . The biggest common factor number is the GCF number.
So the greatest common factor 94,28,784 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 83/94, 90/28, 456/784

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 83/94, 90/28, 456/784?

Answer: LCM of Numerators as per given numbers 83/94, 90/28, 456/784 is

LCM of Numerators i.e. for 83,90,456 is 567720

GCF of denominators i.e. for 94,28,784 is 2.

Thus, LCM of Fractions is 283860.Finally, LCM of Fractions for 83/94, 90/28, 456/784 is 283860.