Least Common Multiple of 4952/694, 1695/3798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4952/694, 1695/3798 quickly i.e. 4196820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4952/694, 1695/3798 is 4196820.

LCM(4952/694, 1695/3798) = 4196820

LCM of 4952/694, 1695/3798

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 4952/694,1695/3798

Given numbers are 4952/694,1695/3798

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 4952,1695

Least Common Multiple of Numerators i.e. LCM of 4952,1695 is 8393640.

GCF of Denominators means GCF of 694,3798 as per the given fractions.

GCF of 694,3798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4952,1695

LCM of Fractions 4952/694,1695/3798 is 4196820

Given numbers has no common factors except 1. So, there LCM is their product i.e 8393640

Least Common Multiple of 4952,1695 with GCF Formula

Least Common Multiple of 4952,1695 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 4952,1695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4952,1695) = 1

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

GCF(4952,1695) x common factors =1 x 1 = 1

LCM(4952,1695) = ( 4952 × 1695 ) / 1

LCM(4952,1695) = 8393640 / 1

LCM(4952,1695) = 8393640


Lets's calculate GCF of 694,3798

2 694, 3798
347, 1899

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8393640/2

Therefore the LCM of Fractions 4952/694,1695/3798 is 4196820

Greatest Common Factor of 694,3798 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,3798 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1,2,3,6,9,18,211,422,633,1266,1899,3798

Greatest Common Factor

We found the factors 694,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 694,3798 is 2.


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Frequently Asked Questions on Fractional LCM of 4952/694, 1695/3798

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 4952/694, 1695/3798?

Answer: LCM of Numerators as per given numbers 4952/694, 1695/3798 is

LCM of Numerators i.e. for 4952,1695 is 8393640

GCF of denominators i.e. for 694,3798 is 2.

Thus, LCM of Fractions is 4196820.Finally, LCM of Fractions for 4952/694, 1695/3798 is 4196820.