Least Common Multiple of 720/25, 810/67, 980/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/25, 810/67, 980/873 quickly i.e. 317520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/25, 810/67, 980/873 is 317520.

LCM(720/25, 810/67, 980/873) = 317520

LCM of 720/25, 810/67, 980/873

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 720/25,810/67,980/873

Given numbers are 720/25,810/67,980/873

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 720,810,980

Least Common Multiple of Numerators i.e. LCM of 720,810,980 is 317520.

GCF of Denominators means GCF of 25,67,873 as per the given fractions.

GCF of 25,67,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,810,980

LCM of Fractions 720/25,810/67,980/873 is 317520

2 720, 810, 980
2 360, 405, 490
3 180, 405, 245
3 60, 135, 245
5 20, 45, 245
4, 9, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 4 x 9 x 49 = 317520

Least Common Multiple of 720,810,980 with GCF Formula

Least Common Multiple of 720,810,980 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 720,810,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,810,980) = 10

common factors(in case of two or more numbers have common factors) = 180

GCF(720,810,980) x common factors =10 x 180 = 1800

LCM(720,810,980) = ( 720 × 810 × 980 ) / 1800

LCM(720,810,980) = 571536000 / 1800

LCM(720,810,980) = 317520


Lets's calculate GCF of 25,67,873

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317520/1

Therefore the LCM of Fractions 720/25,810/67,980/873 is 317520

Greatest Common Factor of 25,67,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,67,873 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 25,67,873 . The biggest common factor number is the GCF number.
So the greatest common factor 25,67,873 is 1.


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 720/25, 810/67, 980/873

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 720/25, 810/67, 980/873?

Answer: LCM of Numerators as per given numbers 720/25, 810/67, 980/873 is

LCM of Numerators i.e. for 720,810,980 is 317520

GCF of denominators i.e. for 25,67,873 is 1.

Thus, LCM of Fractions is 317520.Finally, LCM of Fractions for 720/25, 810/67, 980/873 is 317520.