Least Common Multiple of 7639/369, 4992/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7639/369, 4992/682 quickly i.e. 38133888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7639/369, 4992/682 is 38133888.

LCM(7639/369, 4992/682) = 38133888

LCM of 7639/369, 4992/682

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 7639/369,4992/682

Given numbers are 7639/369,4992/682

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 7639,4992

Least Common Multiple of Numerators i.e. LCM of 7639,4992 is 38133888.

GCF of Denominators means GCF of 369,682 as per the given fractions.

GCF of 369,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7639,4992

LCM of Fractions 7639/369,4992/682 is 38133888

Given numbers has no common factors except 1. So, there LCM is their product i.e 38133888

Least Common Multiple of 7639,4992 with GCF Formula

Least Common Multiple of 7639,4992 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 7639,4992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7639,4992) = 1

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

GCF(7639,4992) x common factors =1 x 1 = 1

LCM(7639,4992) = ( 7639 × 4992 ) / 1

LCM(7639,4992) = 38133888 / 1

LCM(7639,4992) = 38133888


Lets's calculate GCF of 369,682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38133888/1

Therefore the LCM of Fractions 7639/369,4992/682 is 38133888

Greatest Common Factor of 369,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,682 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 369,682 . The biggest common factor number is the GCF number.
So the greatest common factor 369,682 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7639/369, 4992/682

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 7639/369, 4992/682?

Answer: LCM of Numerators as per given numbers 7639/369, 4992/682 is

LCM of Numerators i.e. for 7639,4992 is 38133888

GCF of denominators i.e. for 369,682 is 1.

Thus, LCM of Fractions is 38133888.Finally, LCM of Fractions for 7639/369, 4992/682 is 38133888.