Least Common Multiple of 759/364, 469/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/364, 469/994 quickly i.e. 355971/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/364, 469/994 is 355971/14.

LCM(759/364, 469/994) = 355971/14

LCM of 759/364, 469/994

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 759/364,469/994

Given numbers are 759/364,469/994

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 759,469

Least Common Multiple of Numerators i.e. LCM of 759,469 is 355971.

GCF of Denominators means GCF of 364,994 as per the given fractions.

GCF of 364,994 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,469

LCM of Fractions 759/364,469/994 is 355971/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 355971

Least Common Multiple of 759,469 with GCF Formula

Least Common Multiple of 759,469 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 759,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,469) = 1

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

GCF(759,469) x common factors =1 x 1 = 1

LCM(759,469) = ( 759 × 469 ) / 1

LCM(759,469) = 355971 / 1

LCM(759,469) = 355971


Lets's calculate GCF of 364,994

2 364, 994
7 182, 497
26, 71

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355971/14

Therefore the LCM of Fractions 759/364,469/994 is 355971/14

Greatest Common Factor of 364,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,994 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 364,994 . The biggest common factor number is the GCF number.
So the greatest common factor 364,994 is 14.


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 759/364, 469/994

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 759/364, 469/994?

Answer: LCM of Numerators as per given numbers 759/364, 469/994 is

LCM of Numerators i.e. for 759,469 is 355971

GCF of denominators i.e. for 364,994 is 14.

Thus, LCM of Fractions is 355971/14.Finally, LCM of Fractions for 759/364, 469/994 is 355971/14.