Least Common Multiple of 10/225, 1576/1870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/225, 1576/1870 quickly i.e. 1576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/225, 1576/1870 is 1576.

LCM(10/225, 1576/1870) = 1576

LCM of 10/225, 1576/1870

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 10/225,1576/1870

Given numbers are 10/225,1576/1870

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 10,1576

Least Common Multiple of Numerators i.e. LCM of 10,1576 is 7880.

GCF of Denominators means GCF of 225,1870 as per the given fractions.

GCF of 225,1870 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,1576

LCM of Fractions 10/225,1576/1870 is 1576

2 10, 1576
5, 788

∴ So the LCM of the given numbers is 2 x 5 x 788 = 7880

Least Common Multiple of 10,1576 with GCF Formula

Least Common Multiple of 10,1576 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 10,1576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,1576) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(10,1576) x common factors =2 x 1 = 2

LCM(10,1576) = ( 10 × 1576 ) / 2

LCM(10,1576) = 15760 / 2

LCM(10,1576) = 7880


Lets's calculate GCF of 225,1870

5 225, 1870
45, 374

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7880/5

Therefore the LCM of Fractions 10/225,1576/1870 is 1576

Greatest Common Factor of 225,1870 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,1870 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 1870

List of positive integer factors of 1870 that divides 1870 without a remainder.

1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870

Greatest Common Factor

We found the factors 225,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 225,1870 is 5.


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 10/225, 1576/1870

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 10/225, 1576/1870?

Answer: LCM of Numerators as per given numbers 10/225, 1576/1870 is

LCM of Numerators i.e. for 10,1576 is 7880

GCF of denominators i.e. for 225,1870 is 5.

Thus, LCM of Fractions is 1576.Finally, LCM of Fractions for 10/225, 1576/1870 is 1576.