Least Common Multiple of 185/28, 846/90, 672/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/28, 846/90, 672/506 quickly i.e. 8764560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/28, 846/90, 672/506 is 8764560.

LCM(185/28, 846/90, 672/506) = 8764560

LCM of 185/28, 846/90, 672/506

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 185/28,846/90,672/506

Given numbers are 185/28,846/90,672/506

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 185,846,672

Least Common Multiple of Numerators i.e. LCM of 185,846,672 is 17529120.

GCF of Denominators means GCF of 28,90,506 as per the given fractions.

GCF of 28,90,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,846,672

LCM of Fractions 185/28,846/90,672/506 is 8764560

2 185, 846, 672
3 185, 423, 336
185, 141, 112

∴ So the LCM of the given numbers is 2 x 3 x 185 x 141 x 112 = 17529120

Least Common Multiple of 185,846,672 with GCF Formula

Least Common Multiple of 185,846,672 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 185,846,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,846,672) = 1

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

GCF(185,846,672) x common factors =1 x 6 = 6

LCM(185,846,672) = ( 185 × 846 × 672 ) / 6

LCM(185,846,672) = 105174720 / 6

LCM(185,846,672) = 17529120


Lets's calculate GCF of 28,90,506

2 28, 90, 506
14, 45, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17529120/2

Therefore the LCM of Fractions 185/28,846/90,672/506 is 8764560

Greatest Common Factor of 28,90,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,90,506 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 28,90,506 . The biggest common factor number is the GCF number.
So the greatest common factor 28,90,506 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 185/28, 846/90, 672/506

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 185/28, 846/90, 672/506?

Answer: LCM of Numerators as per given numbers 185/28, 846/90, 672/506 is

LCM of Numerators i.e. for 185,846,672 is 17529120

GCF of denominators i.e. for 28,90,506 is 2.

Thus, LCM of Fractions is 8764560.Finally, LCM of Fractions for 185/28, 846/90, 672/506 is 8764560.