Least Common Multiple of 9507/829, 4053/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9507/829, 4053/245 quickly i.e. 12843957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9507/829, 4053/245 is 12843957.

LCM(9507/829, 4053/245) = 12843957

LCM of 9507/829, 4053/245

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 9507/829,4053/245

Given numbers are 9507/829,4053/245

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 9507,4053

Least Common Multiple of Numerators i.e. LCM of 9507,4053 is 12843957.

GCF of Denominators means GCF of 829,245 as per the given fractions.

GCF of 829,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9507,4053

LCM of Fractions 9507/829,4053/245 is 12843957

3 9507, 4053
3169, 1351

∴ So the LCM of the given numbers is 3 x 3169 x 1351 = 12843957

Least Common Multiple of 9507,4053 with GCF Formula

Least Common Multiple of 9507,4053 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 9507,4053 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9507,4053) = 3

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

GCF(9507,4053) x common factors =3 x 1 = 3

LCM(9507,4053) = ( 9507 × 4053 ) / 3

LCM(9507,4053) = 38531871 / 3

LCM(9507,4053) = 12843957


Lets's calculate GCF of 829,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12843957/1

Therefore the LCM of Fractions 9507/829,4053/245 is 12843957

Greatest Common Factor of 829,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,245 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 245

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

1,5,7,35,49,245

Greatest Common Factor

We found the factors 829,245 . The biggest common factor number is the GCF number.
So the greatest common factor 829,245 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 9507/829, 4053/245

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 9507/829, 4053/245?

Answer: LCM of Numerators as per given numbers 9507/829, 4053/245 is

LCM of Numerators i.e. for 9507,4053 is 12843957

GCF of denominators i.e. for 829,245 is 1.

Thus, LCM of Fractions is 12843957.Finally, LCM of Fractions for 9507/829, 4053/245 is 12843957.