Least Common Multiple of 32/870, 15/526, 146/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/870, 15/526, 146/514 quickly i.e. 17520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/870, 15/526, 146/514 is 17520.

LCM(32/870, 15/526, 146/514) = 17520

LCM of 32/870, 15/526, 146/514

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 32/870,15/526,146/514

Given numbers are 32/870,15/526,146/514

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 32,15,146

Least Common Multiple of Numerators i.e. LCM of 32,15,146 is 35040.

GCF of Denominators means GCF of 870,526,514 as per the given fractions.

GCF of 870,526,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,15,146

LCM of Fractions 32/870,15/526,146/514 is 17520

2 32, 15, 146
16, 15, 73

∴ So the LCM of the given numbers is 2 x 16 x 15 x 73 = 35040

Least Common Multiple of 32,15,146 with GCF Formula

Least Common Multiple of 32,15,146 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 32,15,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,15,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,15,146) x common factors =1 x 2 = 2

LCM(32,15,146) = ( 32 × 15 × 146 ) / 2

LCM(32,15,146) = 70080 / 2

LCM(32,15,146) = 35040


Lets's calculate GCF of 870,526,514

2 870, 526, 514
435, 263, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35040/2

Therefore the LCM of Fractions 32/870,15/526,146/514 is 17520

Greatest Common Factor of 870,526,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,526,514 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 870,526,514 . The biggest common factor number is the GCF number.
So the greatest common factor 870,526,514 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 32/870, 15/526, 146/514

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 32/870, 15/526, 146/514?

Answer: LCM of Numerators as per given numbers 32/870, 15/526, 146/514 is

LCM of Numerators i.e. for 32,15,146 is 35040

GCF of denominators i.e. for 870,526,514 is 2.

Thus, LCM of Fractions is 17520.Finally, LCM of Fractions for 32/870, 15/526, 146/514 is 17520.