Least Common Multiple of 77/411, 68/990, 509/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/411, 68/990, 509/490 quickly i.e. 2665124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/411, 68/990, 509/490 is 2665124.

LCM(77/411, 68/990, 509/490) = 2665124

LCM of 77/411, 68/990, 509/490

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 77/411,68/990,509/490

Given numbers are 77/411,68/990,509/490

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 77,68,509

Least Common Multiple of Numerators i.e. LCM of 77,68,509 is 2665124.

GCF of Denominators means GCF of 411,990,490 as per the given fractions.

GCF of 411,990,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,68,509

LCM of Fractions 77/411,68/990,509/490 is 2665124

Given numbers has no common factors except 1. So, there LCM is their product i.e 2665124

Least Common Multiple of 77,68,509 with GCF Formula

Least Common Multiple of 77,68,509 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 77,68,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,68,509) = 1

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

GCF(77,68,509) x common factors =1 x 1 = 1

LCM(77,68,509) = ( 77 × 68 × 509 ) / 1

LCM(77,68,509) = 2665124 / 1

LCM(77,68,509) = 2665124


Lets's calculate GCF of 411,990,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2665124/1

Therefore the LCM of Fractions 77/411,68/990,509/490 is 2665124

Greatest Common Factor of 411,990,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,990,490 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 411,990,490 . The biggest common factor number is the GCF number.
So the greatest common factor 411,990,490 is 1.


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 77/411, 68/990, 509/490

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 77/411, 68/990, 509/490?

Answer: LCM of Numerators as per given numbers 77/411, 68/990, 509/490 is

LCM of Numerators i.e. for 77,68,509 is 2665124

GCF of denominators i.e. for 411,990,490 is 1.

Thus, LCM of Fractions is 2665124.Finally, LCM of Fractions for 77/411, 68/990, 509/490 is 2665124.