Least Common Multiple of 749/463, 3482/9820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 749/463, 3482/9820 quickly i.e. 2608018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/463, 3482/9820 is 2608018.

LCM(749/463, 3482/9820) = 2608018

LCM of 749/463, 3482/9820

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 749/463,3482/9820

Given numbers are 749/463,3482/9820

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 749,3482

Least Common Multiple of Numerators i.e. LCM of 749,3482 is 2608018.

GCF of Denominators means GCF of 463,9820 as per the given fractions.

GCF of 463,9820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,3482

LCM of Fractions 749/463,3482/9820 is 2608018

Given numbers has no common factors except 1. So, there LCM is their product i.e 2608018

Least Common Multiple of 749,3482 with GCF Formula

Least Common Multiple of 749,3482 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 749,3482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,3482) = 1

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

GCF(749,3482) x common factors =1 x 1 = 1

LCM(749,3482) = ( 749 × 3482 ) / 1

LCM(749,3482) = 2608018 / 1

LCM(749,3482) = 2608018


Lets's calculate GCF of 463,9820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2608018/1

Therefore the LCM of Fractions 749/463,3482/9820 is 2608018

Greatest Common Factor of 463,9820 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,9820 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 9820

List of positive integer factors of 9820 that divides 9820 without a remainder.

1,2,4,5,10,20,491,982,1964,2455,4910,9820

Greatest Common Factor

We found the factors 463,9820 . The biggest common factor number is the GCF number.
So the greatest common factor 463,9820 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 749/463, 3482/9820

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 749/463, 3482/9820?

Answer: LCM of Numerators as per given numbers 749/463, 3482/9820 is

LCM of Numerators i.e. for 749,3482 is 2608018

GCF of denominators i.e. for 463,9820 is 1.

Thus, LCM of Fractions is 2608018.Finally, LCM of Fractions for 749/463, 3482/9820 is 2608018.