Least Common Multiple of 699/892, 7464/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 699/892, 7464/808 quickly i.e. 434778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/892, 7464/808 is 434778.

LCM(699/892, 7464/808) = 434778

LCM of 699/892, 7464/808

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 699/892,7464/808

Given numbers are 699/892,7464/808

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 699,7464

Least Common Multiple of Numerators i.e. LCM of 699,7464 is 1739112.

GCF of Denominators means GCF of 892,808 as per the given fractions.

GCF of 892,808 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,7464

LCM of Fractions 699/892,7464/808 is 434778

3 699, 7464
233, 2488

∴ So the LCM of the given numbers is 3 x 233 x 2488 = 1739112

Least Common Multiple of 699,7464 with GCF Formula

Least Common Multiple of 699,7464 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 699,7464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,7464) = 3

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

GCF(699,7464) x common factors =3 x 1 = 3

LCM(699,7464) = ( 699 × 7464 ) / 3

LCM(699,7464) = 5217336 / 3

LCM(699,7464) = 1739112


Lets's calculate GCF of 892,808

2 892, 808
2 446, 404
223, 202

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1739112/4

Therefore the LCM of Fractions 699/892,7464/808 is 434778

Greatest Common Factor of 892,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,808 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 892,808 . The biggest common factor number is the GCF number.
So the greatest common factor 892,808 is 4.


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Frequently Asked Questions on Fractional LCM of 699/892, 7464/808

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 699/892, 7464/808?

Answer: LCM of Numerators as per given numbers 699/892, 7464/808 is

LCM of Numerators i.e. for 699,7464 is 1739112

GCF of denominators i.e. for 892,808 is 4.

Thus, LCM of Fractions is 434778.Finally, LCM of Fractions for 699/892, 7464/808 is 434778.