Least Common Multiple of 80/585, 88/795, 702/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/585, 88/795, 702/632 quickly i.e. 308880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/585, 88/795, 702/632 is 308880.

LCM(80/585, 88/795, 702/632) = 308880

LCM of 80/585, 88/795, 702/632

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 80/585,88/795,702/632

Given numbers are 80/585,88/795,702/632

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 80,88,702

Least Common Multiple of Numerators i.e. LCM of 80,88,702 is 308880.

GCF of Denominators means GCF of 585,795,632 as per the given fractions.

GCF of 585,795,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,88,702

LCM of Fractions 80/585,88/795,702/632 is 308880

2 80, 88, 702
2 40, 44, 351
2 20, 22, 351
10, 11, 351

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 11 x 351 = 308880

Least Common Multiple of 80,88,702 with GCF Formula

Least Common Multiple of 80,88,702 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 80,88,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,88,702) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(80,88,702) x common factors =2 x 8 = 16

LCM(80,88,702) = ( 80 × 88 × 702 ) / 16

LCM(80,88,702) = 4942080 / 16

LCM(80,88,702) = 308880


Lets's calculate GCF of 585,795,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308880/1

Therefore the LCM of Fractions 80/585,88/795,702/632 is 308880

Greatest Common Factor of 585,795,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,795,632 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 585,795,632 . The biggest common factor number is the GCF number.
So the greatest common factor 585,795,632 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/585, 88/795, 702/632

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 80/585, 88/795, 702/632?

Answer: LCM of Numerators as per given numbers 80/585, 88/795, 702/632 is

LCM of Numerators i.e. for 80,88,702 is 308880

GCF of denominators i.e. for 585,795,632 is 1.

Thus, LCM of Fractions is 308880.Finally, LCM of Fractions for 80/585, 88/795, 702/632 is 308880.