Least Common Multiple of 509/77, 9668/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/77, 9668/602 quickly i.e. 4921012/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/77, 9668/602 is 4921012/7.

LCM(509/77, 9668/602) = 4921012/7

LCM of 509/77, 9668/602

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 509/77,9668/602

Given numbers are 509/77,9668/602

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 509,9668

Least Common Multiple of Numerators i.e. LCM of 509,9668 is 4921012.

GCF of Denominators means GCF of 77,602 as per the given fractions.

GCF of 77,602 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,9668

LCM of Fractions 509/77,9668/602 is 4921012/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 4921012

Least Common Multiple of 509,9668 with GCF Formula

Least Common Multiple of 509,9668 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 509,9668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,9668) = 1

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

GCF(509,9668) x common factors =1 x 1 = 1

LCM(509,9668) = ( 509 × 9668 ) / 1

LCM(509,9668) = 4921012 / 1

LCM(509,9668) = 4921012


Lets's calculate GCF of 77,602

7 77, 602
11, 86

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4921012/7

Therefore the LCM of Fractions 509/77,9668/602 is 4921012/7

Greatest Common Factor of 77,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,602 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 602

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

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

Greatest Common Factor

We found the factors 77,602 . The biggest common factor number is the GCF number.
So the greatest common factor 77,602 is 7.


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 509/77, 9668/602

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 509/77, 9668/602?

Answer: LCM of Numerators as per given numbers 509/77, 9668/602 is

LCM of Numerators i.e. for 509,9668 is 4921012

GCF of denominators i.e. for 77,602 is 7.

Thus, LCM of Fractions is 4921012/7.Finally, LCM of Fractions for 509/77, 9668/602 is 4921012/7.