Least Common Multiple of 67/45, 51/870, 149/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/45, 51/870, 149/801 quickly i.e. 169711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/45, 51/870, 149/801 is 169711.

LCM(67/45, 51/870, 149/801) = 169711

LCM of 67/45, 51/870, 149/801

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 67/45,51/870,149/801

Given numbers are 67/45,51/870,149/801

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 67,51,149

Least Common Multiple of Numerators i.e. LCM of 67,51,149 is 509133.

GCF of Denominators means GCF of 45,870,801 as per the given fractions.

GCF of 45,870,801 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,51,149

LCM of Fractions 67/45,51/870,149/801 is 169711

Given numbers has no common factors except 1. So, there LCM is their product i.e 509133

Least Common Multiple of 67,51,149 with GCF Formula

Least Common Multiple of 67,51,149 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 67,51,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,51,149) = 1

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

GCF(67,51,149) x common factors =1 x 1 = 1

LCM(67,51,149) = ( 67 × 51 × 149 ) / 1

LCM(67,51,149) = 509133 / 1

LCM(67,51,149) = 509133


Lets's calculate GCF of 45,870,801

3 45, 870, 801
15, 290, 267

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 509133/3

Therefore the LCM of Fractions 67/45,51/870,149/801 is 169711

Greatest Common Factor of 45,870,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,870,801 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

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 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 45,870,801 . The biggest common factor number is the GCF number.
So the greatest common factor 45,870,801 is 3.


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 67/45, 51/870, 149/801

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 67/45, 51/870, 149/801?

Answer: LCM of Numerators as per given numbers 67/45, 51/870, 149/801 is

LCM of Numerators i.e. for 67,51,149 is 509133

GCF of denominators i.e. for 45,870,801 is 3.

Thus, LCM of Fractions is 169711.Finally, LCM of Fractions for 67/45, 51/870, 149/801 is 169711.