Least Common Multiple of 898/780, 108/245, 589/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 898/780, 108/245, 589/607 quickly i.e. 28561788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 898/780, 108/245, 589/607 is 28561788.

LCM(898/780, 108/245, 589/607) = 28561788

LCM of 898/780, 108/245, 589/607

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 898/780,108/245,589/607

Given numbers are 898/780,108/245,589/607

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 898,108,589

Least Common Multiple of Numerators i.e. LCM of 898,108,589 is 28561788.

GCF of Denominators means GCF of 780,245,607 as per the given fractions.

GCF of 780,245,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 898,108,589

LCM of Fractions 898/780,108/245,589/607 is 28561788

2 898, 108, 589
449, 54, 589

∴ So the LCM of the given numbers is 2 x 449 x 54 x 589 = 28561788

Least Common Multiple of 898,108,589 with GCF Formula

Least Common Multiple of 898,108,589 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 898,108,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,108,589) = 1

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

GCF(898,108,589) x common factors =1 x 2 = 2

LCM(898,108,589) = ( 898 × 108 × 589 ) / 2

LCM(898,108,589) = 57123576 / 2

LCM(898,108,589) = 28561788


Lets's calculate GCF of 780,245,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28561788/1

Therefore the LCM of Fractions 898/780,108/245,589/607 is 28561788

Greatest Common Factor of 780,245,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,245,607 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 780,245,607 . The biggest common factor number is the GCF number.
So the greatest common factor 780,245,607 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 898/780, 108/245, 589/607

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 898/780, 108/245, 589/607?

Answer: LCM of Numerators as per given numbers 898/780, 108/245, 589/607 is

LCM of Numerators i.e. for 898,108,589 is 28561788

GCF of denominators i.e. for 780,245,607 is 1.

Thus, LCM of Fractions is 28561788.Finally, LCM of Fractions for 898/780, 108/245, 589/607 is 28561788.