Least Common Multiple of 7949/602, 1689/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7949/602, 1689/731 quickly i.e. 13425861/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7949/602, 1689/731 is 13425861/43.

LCM(7949/602, 1689/731) = 13425861/43

LCM of 7949/602, 1689/731

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 7949/602,1689/731

Given numbers are 7949/602,1689/731

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 7949,1689

Least Common Multiple of Numerators i.e. LCM of 7949,1689 is 13425861.

GCF of Denominators means GCF of 602,731 as per the given fractions.

GCF of 602,731 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7949,1689

LCM of Fractions 7949/602,1689/731 is 13425861/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 13425861

Least Common Multiple of 7949,1689 with GCF Formula

Least Common Multiple of 7949,1689 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 7949,1689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7949,1689) = 1

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

GCF(7949,1689) x common factors =1 x 1 = 1

LCM(7949,1689) = ( 7949 × 1689 ) / 1

LCM(7949,1689) = 13425861 / 1

LCM(7949,1689) = 13425861


Lets's calculate GCF of 602,731

43 602, 731
14, 17

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13425861/43

Therefore the LCM of Fractions 7949/602,1689/731 is 13425861/43

Greatest Common Factor of 602,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,731 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 602,731 . The biggest common factor number is the GCF number.
So the greatest common factor 602,731 is 43.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7949/602, 1689/731

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 7949/602, 1689/731?

Answer: LCM of Numerators as per given numbers 7949/602, 1689/731 is

LCM of Numerators i.e. for 7949,1689 is 13425861

GCF of denominators i.e. for 602,731 is 43.

Thus, LCM of Fractions is 13425861/43.Finally, LCM of Fractions for 7949/602, 1689/731 is 13425861/43.