Least Common Multiple of 49/463, 9826/7435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/463, 9826/7435 quickly i.e. 481474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/463, 9826/7435 is 481474.

LCM(49/463, 9826/7435) = 481474

LCM of 49/463, 9826/7435

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 49/463,9826/7435

Given numbers are 49/463,9826/7435

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 49,9826

Least Common Multiple of Numerators i.e. LCM of 49,9826 is 481474.

GCF of Denominators means GCF of 463,7435 as per the given fractions.

GCF of 463,7435 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,9826

LCM of Fractions 49/463,9826/7435 is 481474

Given numbers has no common factors except 1. So, there LCM is their product i.e 481474

Least Common Multiple of 49,9826 with GCF Formula

Least Common Multiple of 49,9826 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 49,9826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,9826) = 1

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

GCF(49,9826) x common factors =1 x 1 = 1

LCM(49,9826) = ( 49 × 9826 ) / 1

LCM(49,9826) = 481474 / 1

LCM(49,9826) = 481474


Lets's calculate GCF of 463,7435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 481474/1

Therefore the LCM of Fractions 49/463,9826/7435 is 481474

Greatest Common Factor of 463,7435 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,7435 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 7435

List of positive integer factors of 7435 that divides 7435 without a remainder.

1,5,1487,7435

Greatest Common Factor

We found the factors 463,7435 . The biggest common factor number is the GCF number.
So the greatest common factor 463,7435 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/463, 9826/7435

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 49/463, 9826/7435?

Answer: LCM of Numerators as per given numbers 49/463, 9826/7435 is

LCM of Numerators i.e. for 49,9826 is 481474

GCF of denominators i.e. for 463,7435 is 1.

Thus, LCM of Fractions is 481474.Finally, LCM of Fractions for 49/463, 9826/7435 is 481474.