Least Common Multiple of 245/48, 708/75, 804/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 245/48, 708/75, 804/23 quickly i.e. 11621820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 245/48, 708/75, 804/23 is 11621820.

LCM(245/48, 708/75, 804/23) = 11621820

LCM of 245/48, 708/75, 804/23

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 245/48,708/75,804/23

Given numbers are 245/48,708/75,804/23

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 245,708,804

Least Common Multiple of Numerators i.e. LCM of 245,708,804 is 11621820.

GCF of Denominators means GCF of 48,75,23 as per the given fractions.

GCF of 48,75,23 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 245,708,804

LCM of Fractions 245/48,708/75,804/23 is 11621820

2 245, 708, 804
2 245, 354, 402
3 245, 177, 201
245, 59, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 245 x 59 x 67 = 11621820

Least Common Multiple of 245,708,804 with GCF Formula

Least Common Multiple of 245,708,804 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 245,708,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,708,804) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(245,708,804) x common factors =1 x 12 = 12

LCM(245,708,804) = ( 245 × 708 × 804 ) / 12

LCM(245,708,804) = 139461840 / 12

LCM(245,708,804) = 11621820


Lets's calculate GCF of 48,75,23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11621820/1

Therefore the LCM of Fractions 245/48,708/75,804/23 is 11621820

Greatest Common Factor of 48,75,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,75,23 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors 48,75,23 . The biggest common factor number is the GCF number.
So the greatest common factor 48,75,23 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 245/48, 708/75, 804/23

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 245/48, 708/75, 804/23?

Answer: LCM of Numerators as per given numbers 245/48, 708/75, 804/23 is

LCM of Numerators i.e. for 245,708,804 is 11621820

GCF of denominators i.e. for 48,75,23 is 1.

Thus, LCM of Fractions is 11621820.Finally, LCM of Fractions for 245/48, 708/75, 804/23 is 11621820.