Least Common Multiple of 3869/964, 3516/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3869/964, 3516/807 quickly i.e. 13603404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3869/964, 3516/807 is 13603404.

LCM(3869/964, 3516/807) = 13603404

LCM of 3869/964, 3516/807

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 3869/964,3516/807

Given numbers are 3869/964,3516/807

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 3869,3516

Least Common Multiple of Numerators i.e. LCM of 3869,3516 is 13603404.

GCF of Denominators means GCF of 964,807 as per the given fractions.

GCF of 964,807 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3869,3516

LCM of Fractions 3869/964,3516/807 is 13603404

Given numbers has no common factors except 1. So, there LCM is their product i.e 13603404

Least Common Multiple of 3869,3516 with GCF Formula

Least Common Multiple of 3869,3516 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 3869,3516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3869,3516) = 1

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

GCF(3869,3516) x common factors =1 x 1 = 1

LCM(3869,3516) = ( 3869 × 3516 ) / 1

LCM(3869,3516) = 13603404 / 1

LCM(3869,3516) = 13603404


Lets's calculate GCF of 964,807

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13603404/1

Therefore the LCM of Fractions 3869/964,3516/807 is 13603404

Greatest Common Factor of 964,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,807 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 964,807 . The biggest common factor number is the GCF number.
So the greatest common factor 964,807 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3869/964, 3516/807

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 3869/964, 3516/807?

Answer: LCM of Numerators as per given numbers 3869/964, 3516/807 is

LCM of Numerators i.e. for 3869,3516 is 13603404

GCF of denominators i.e. for 964,807 is 1.

Thus, LCM of Fractions is 13603404.Finally, LCM of Fractions for 3869/964, 3516/807 is 13603404.