Least Common Multiple of 53/90, 534/75, 570/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/90, 534/75, 570/840 quickly i.e. 179246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/90, 534/75, 570/840 is 179246.

LCM(53/90, 534/75, 570/840) = 179246

LCM of 53/90, 534/75, 570/840

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 53/90,534/75,570/840

Given numbers are 53/90,534/75,570/840

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 53,534,570

Least Common Multiple of Numerators i.e. LCM of 53,534,570 is 2688690.

GCF of Denominators means GCF of 90,75,840 as per the given fractions.

GCF of 90,75,840 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,534,570

LCM of Fractions 53/90,534/75,570/840 is 179246

2 53, 534, 570
3 53, 267, 285
53, 89, 95

∴ So the LCM of the given numbers is 2 x 3 x 53 x 89 x 95 = 2688690

Least Common Multiple of 53,534,570 with GCF Formula

Least Common Multiple of 53,534,570 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 53,534,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,534,570) = 1

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

GCF(53,534,570) x common factors =1 x 6 = 6

LCM(53,534,570) = ( 53 × 534 × 570 ) / 6

LCM(53,534,570) = 16132140 / 6

LCM(53,534,570) = 2688690


Lets's calculate GCF of 90,75,840

3 90, 75, 840
5 30, 25, 280
6, 5, 56

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2688690/15

Therefore the LCM of Fractions 53/90,534/75,570/840 is 179246

Greatest Common Factor of 90,75,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,75,840 By Matching Biggest Common Factor Method

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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 90,75,840 . The biggest common factor number is the GCF number.
So the greatest common factor 90,75,840 is 15.


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 53/90, 534/75, 570/840

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 53/90, 534/75, 570/840?

Answer: LCM of Numerators as per given numbers 53/90, 534/75, 570/840 is

LCM of Numerators i.e. for 53,534,570 is 2688690

GCF of denominators i.e. for 90,75,840 is 15.

Thus, LCM of Fractions is 179246.Finally, LCM of Fractions for 53/90, 534/75, 570/840 is 179246.