Least Common Multiple of 9414/798, 2545/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9414/798, 2545/462 quickly i.e. 23958630/42 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9414/798, 2545/462 is 23958630/42.

LCM(9414/798, 2545/462) = 23958630/42

LCM of 9414/798, 2545/462

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 9414/798,2545/462

Given numbers are 9414/798,2545/462

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 9414,2545

Least Common Multiple of Numerators i.e. LCM of 9414,2545 is 23958630.

GCF of Denominators means GCF of 798,462 as per the given fractions.

GCF of 798,462 is 42 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9414,2545

LCM of Fractions 9414/798,2545/462 is 23958630/42

Given numbers has no common factors except 1. So, there LCM is their product i.e 23958630

Least Common Multiple of 9414,2545 with GCF Formula

Least Common Multiple of 9414,2545 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 9414,2545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9414,2545) = 1

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

GCF(9414,2545) x common factors =1 x 1 = 1

LCM(9414,2545) = ( 9414 × 2545 ) / 1

LCM(9414,2545) = 23958630 / 1

LCM(9414,2545) = 23958630


Lets's calculate GCF of 798,462

2 798, 462
3 399, 231
7 133, 77
19, 11

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23958630/42

Therefore the LCM of Fractions 9414/798,2545/462 is 23958630/42

Greatest Common Factor of 798,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,462 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 798,462 . The biggest common factor number is the GCF number.
So the greatest common factor 798,462 is 42.


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 9414/798, 2545/462

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 9414/798, 2545/462?

Answer: LCM of Numerators as per given numbers 9414/798, 2545/462 is

LCM of Numerators i.e. for 9414,2545 is 23958630

GCF of denominators i.e. for 798,462 is 42.

Thus, LCM of Fractions is 23958630/42.Finally, LCM of Fractions for 9414/798, 2545/462 is 23958630/42.