Least Common Multiple of 625/16, 435/90, 840/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 625/16, 435/90, 840/472 quickly i.e. 1522500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/16, 435/90, 840/472 is 1522500.

LCM(625/16, 435/90, 840/472) = 1522500

LCM of 625/16, 435/90, 840/472

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 625/16,435/90,840/472

Given numbers are 625/16,435/90,840/472

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 625,435,840

Least Common Multiple of Numerators i.e. LCM of 625,435,840 is 3045000.

GCF of Denominators means GCF of 16,90,472 as per the given fractions.

GCF of 16,90,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,435,840

LCM of Fractions 625/16,435/90,840/472 is 1522500

3 625, 435, 840
5 625, 145, 280
125, 29, 56

∴ So the LCM of the given numbers is 3 x 5 x 125 x 29 x 56 = 3045000

Least Common Multiple of 625,435,840 with GCF Formula

Least Common Multiple of 625,435,840 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 625,435,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,435,840) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(625,435,840) x common factors =5 x 15 = 75

LCM(625,435,840) = ( 625 × 435 × 840 ) / 75

LCM(625,435,840) = 228375000 / 75

LCM(625,435,840) = 3045000


Lets's calculate GCF of 16,90,472

2 16, 90, 472
8, 45, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3045000/2

Therefore the LCM of Fractions 625/16,435/90,840/472 is 1522500

Greatest Common Factor of 16,90,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,90,472 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 16,90,472 . The biggest common factor number is the GCF number.
So the greatest common factor 16,90,472 is 2.


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 625/16, 435/90, 840/472

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 625/16, 435/90, 840/472?

Answer: LCM of Numerators as per given numbers 625/16, 435/90, 840/472 is

LCM of Numerators i.e. for 625,435,840 is 3045000

GCF of denominators i.e. for 16,90,472 is 2.

Thus, LCM of Fractions is 1522500.Finally, LCM of Fractions for 625/16, 435/90, 840/472 is 1522500.