Least Common Multiple of 88/169, 65/717, 510/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/169, 65/717, 510/398 quickly i.e. 291720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/169, 65/717, 510/398 is 291720.

LCM(88/169, 65/717, 510/398) = 291720

LCM of 88/169, 65/717, 510/398

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 88/169,65/717,510/398

Given numbers are 88/169,65/717,510/398

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 88,65,510

Least Common Multiple of Numerators i.e. LCM of 88,65,510 is 291720.

GCF of Denominators means GCF of 169,717,398 as per the given fractions.

GCF of 169,717,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,65,510

LCM of Fractions 88/169,65/717,510/398 is 291720

2 88, 65, 510
5 44, 65, 255
44, 13, 51

∴ So the LCM of the given numbers is 2 x 5 x 44 x 13 x 51 = 291720

Least Common Multiple of 88,65,510 with GCF Formula

Least Common Multiple of 88,65,510 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 88,65,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,65,510) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(88,65,510) x common factors =1 x 10 = 10

LCM(88,65,510) = ( 88 × 65 × 510 ) / 10

LCM(88,65,510) = 2917200 / 10

LCM(88,65,510) = 291720


Lets's calculate GCF of 169,717,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291720/1

Therefore the LCM of Fractions 88/169,65/717,510/398 is 291720

Greatest Common Factor of 169,717,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,717,398 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 169,717,398 . The biggest common factor number is the GCF number.
So the greatest common factor 169,717,398 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 88/169, 65/717, 510/398

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 88/169, 65/717, 510/398?

Answer: LCM of Numerators as per given numbers 88/169, 65/717, 510/398 is

LCM of Numerators i.e. for 88,65,510 is 291720

GCF of denominators i.e. for 169,717,398 is 1.

Thus, LCM of Fractions is 291720.Finally, LCM of Fractions for 88/169, 65/717, 510/398 is 291720.