Least Common Multiple of 245/83, 864/95, 810/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 245/83, 864/95, 810/153 quickly i.e. 635040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 245/83, 864/95, 810/153 is 635040.

LCM(245/83, 864/95, 810/153) = 635040

LCM of 245/83, 864/95, 810/153

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 245/83,864/95,810/153

Given numbers are 245/83,864/95,810/153

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 245,864,810

Least Common Multiple of Numerators i.e. LCM of 245,864,810 is 635040.

GCF of Denominators means GCF of 83,95,153 as per the given fractions.

GCF of 83,95,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 245,864,810

LCM of Fractions 245/83,864/95,810/153 is 635040

2 245, 864, 810
3 245, 432, 405
3 245, 144, 135
3 245, 48, 45
5 245, 16, 15
49, 16, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 49 x 16 x 3 = 635040

Least Common Multiple of 245,864,810 with GCF Formula

Least Common Multiple of 245,864,810 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 245,864,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,864,810) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(245,864,810) x common factors =1 x 270 = 270

LCM(245,864,810) = ( 245 × 864 × 810 ) / 270

LCM(245,864,810) = 171460800 / 270

LCM(245,864,810) = 635040


Lets's calculate GCF of 83,95,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 635040/1

Therefore the LCM of Fractions 245/83,864/95,810/153 is 635040

Greatest Common Factor of 83,95,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,95,153 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 83,95,153 . The biggest common factor number is the GCF number.
So the greatest common factor 83,95,153 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 245/83, 864/95, 810/153

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 245/83, 864/95, 810/153?

Answer: LCM of Numerators as per given numbers 245/83, 864/95, 810/153 is

LCM of Numerators i.e. for 245,864,810 is 635040

GCF of denominators i.e. for 83,95,153 is 1.

Thus, LCM of Fractions is 635040.Finally, LCM of Fractions for 245/83, 864/95, 810/153 is 635040.