Least Common Multiple of 3598/411, 7632/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3598/411, 7632/997 quickly i.e. 13729968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3598/411, 7632/997 is 13729968.

LCM(3598/411, 7632/997) = 13729968

LCM of 3598/411, 7632/997

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 3598/411,7632/997

Given numbers are 3598/411,7632/997

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 3598,7632

Least Common Multiple of Numerators i.e. LCM of 3598,7632 is 13729968.

GCF of Denominators means GCF of 411,997 as per the given fractions.

GCF of 411,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3598,7632

LCM of Fractions 3598/411,7632/997 is 13729968

2 3598, 7632
1799, 3816

∴ So the LCM of the given numbers is 2 x 1799 x 3816 = 13729968

Least Common Multiple of 3598,7632 with GCF Formula

Least Common Multiple of 3598,7632 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 3598,7632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3598,7632) = 2

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

GCF(3598,7632) x common factors =2 x 1 = 2

LCM(3598,7632) = ( 3598 × 7632 ) / 2

LCM(3598,7632) = 27459936 / 2

LCM(3598,7632) = 13729968


Lets's calculate GCF of 411,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13729968/1

Therefore the LCM of Fractions 3598/411,7632/997 is 13729968

Greatest Common Factor of 411,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,997 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 411,997 . The biggest common factor number is the GCF number.
So the greatest common factor 411,997 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3598/411, 7632/997

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 3598/411, 7632/997?

Answer: LCM of Numerators as per given numbers 3598/411, 7632/997 is

LCM of Numerators i.e. for 3598,7632 is 13729968

GCF of denominators i.e. for 411,997 is 1.

Thus, LCM of Fractions is 13729968.Finally, LCM of Fractions for 3598/411, 7632/997 is 13729968.