Least Common Multiple of 2546/836, 9805/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2546/836, 9805/456 quickly i.e. 24963530/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2546/836, 9805/456 is 24963530/76.

LCM(2546/836, 9805/456) = 24963530/76

LCM of 2546/836, 9805/456

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 2546/836,9805/456

Given numbers are 2546/836,9805/456

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 2546,9805

Least Common Multiple of Numerators i.e. LCM of 2546,9805 is 24963530.

GCF of Denominators means GCF of 836,456 as per the given fractions.

GCF of 836,456 is 76 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2546,9805

LCM of Fractions 2546/836,9805/456 is 24963530/76

Given numbers has no common factors except 1. So, there LCM is their product i.e 24963530

Least Common Multiple of 2546,9805 with GCF Formula

Least Common Multiple of 2546,9805 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 2546,9805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2546,9805) = 1

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

GCF(2546,9805) x common factors =1 x 1 = 1

LCM(2546,9805) = ( 2546 × 9805 ) / 1

LCM(2546,9805) = 24963530 / 1

LCM(2546,9805) = 24963530


Lets's calculate GCF of 836,456

2 836, 456
2 418, 228
19 209, 114
11, 6

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24963530/76

Therefore the LCM of Fractions 2546/836,9805/456 is 24963530/76

Greatest Common Factor of 836,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,456 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 836,456 . The biggest common factor number is the GCF number.
So the greatest common factor 836,456 is 76.


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 2546/836, 9805/456

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 2546/836, 9805/456?

Answer: LCM of Numerators as per given numbers 2546/836, 9805/456 is

LCM of Numerators i.e. for 2546,9805 is 24963530

GCF of denominators i.e. for 836,456 is 76.

Thus, LCM of Fractions is 24963530/76.Finally, LCM of Fractions for 2546/836, 9805/456 is 24963530/76.