Least Common Multiple of 4823/689, 3482/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4823/689, 3482/374 quickly i.e. 16793686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4823/689, 3482/374 is 16793686.

LCM(4823/689, 3482/374) = 16793686

LCM of 4823/689, 3482/374

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 4823/689,3482/374

Given numbers are 4823/689,3482/374

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 4823,3482

Least Common Multiple of Numerators i.e. LCM of 4823,3482 is 16793686.

GCF of Denominators means GCF of 689,374 as per the given fractions.

GCF of 689,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4823,3482

LCM of Fractions 4823/689,3482/374 is 16793686

Given numbers has no common factors except 1. So, there LCM is their product i.e 16793686

Least Common Multiple of 4823,3482 with GCF Formula

Least Common Multiple of 4823,3482 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 4823,3482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4823,3482) = 1

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

GCF(4823,3482) x common factors =1 x 1 = 1

LCM(4823,3482) = ( 4823 × 3482 ) / 1

LCM(4823,3482) = 16793686 / 1

LCM(4823,3482) = 16793686


Lets's calculate GCF of 689,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16793686/1

Therefore the LCM of Fractions 4823/689,3482/374 is 16793686

Greatest Common Factor of 689,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,374 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 689,374 . The biggest common factor number is the GCF number.
So the greatest common factor 689,374 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4823/689, 3482/374

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 4823/689, 3482/374?

Answer: LCM of Numerators as per given numbers 4823/689, 3482/374 is

LCM of Numerators i.e. for 4823,3482 is 16793686

GCF of denominators i.e. for 689,374 is 1.

Thus, LCM of Fractions is 16793686.Finally, LCM of Fractions for 4823/689, 3482/374 is 16793686.