Least Common Multiple of 85/530, 28/148, 436/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/530, 28/148, 436/625 quickly i.e. 259420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/530, 28/148, 436/625 is 259420.

LCM(85/530, 28/148, 436/625) = 259420

LCM of 85/530, 28/148, 436/625

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 85/530,28/148,436/625

Given numbers are 85/530,28/148,436/625

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 85,28,436

Least Common Multiple of Numerators i.e. LCM of 85,28,436 is 259420.

GCF of Denominators means GCF of 530,148,625 as per the given fractions.

GCF of 530,148,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,28,436

LCM of Fractions 85/530,28/148,436/625 is 259420

2 85, 28, 436
2 85, 14, 218
85, 7, 109

∴ So the LCM of the given numbers is 2 x 2 x 85 x 7 x 109 = 259420

Least Common Multiple of 85,28,436 with GCF Formula

Least Common Multiple of 85,28,436 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 85,28,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,28,436) = 1

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

GCF(85,28,436) x common factors =1 x 4 = 4

LCM(85,28,436) = ( 85 × 28 × 436 ) / 4

LCM(85,28,436) = 1037680 / 4

LCM(85,28,436) = 259420


Lets's calculate GCF of 530,148,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259420/1

Therefore the LCM of Fractions 85/530,28/148,436/625 is 259420

Greatest Common Factor of 530,148,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,148,625 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 530,148,625 . The biggest common factor number is the GCF number.
So the greatest common factor 530,148,625 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/530, 28/148, 436/625

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 85/530, 28/148, 436/625?

Answer: LCM of Numerators as per given numbers 85/530, 28/148, 436/625 is

LCM of Numerators i.e. for 85,28,436 is 259420

GCF of denominators i.e. for 530,148,625 is 1.

Thus, LCM of Fractions is 259420.Finally, LCM of Fractions for 85/530, 28/148, 436/625 is 259420.