Least Common Multiple of 682/78, 220/17, 152/88

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/78, 220/17, 152/88 quickly i.e. 259160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/78, 220/17, 152/88 is 259160.

LCM(682/78, 220/17, 152/88) = 259160

LCM of 682/78, 220/17, 152/88

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 682/78,220/17,152/88

Given numbers are 682/78,220/17,152/88

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 682,220,152

Least Common Multiple of Numerators i.e. LCM of 682,220,152 is 259160.

GCF of Denominators means GCF of 78,17,88 as per the given fractions.

GCF of 78,17,88 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,220,152

LCM of Fractions 682/78,220/17,152/88 is 259160

2 682, 220, 152
2 341, 110, 76
11 341, 55, 38
31, 5, 38

∴ So the LCM of the given numbers is 2 x 2 x 11 x 31 x 5 x 38 = 259160

Least Common Multiple of 682,220,152 with GCF Formula

Least Common Multiple of 682,220,152 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 682,220,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,220,152) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(682,220,152) x common factors =2 x 44 = 88

LCM(682,220,152) = ( 682 × 220 × 152 ) / 88

LCM(682,220,152) = 22806080 / 88

LCM(682,220,152) = 259160


Lets's calculate GCF of 78,17,88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259160/1

Therefore the LCM of Fractions 682/78,220/17,152/88 is 259160

Greatest Common Factor of 78,17,88 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,17,88 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Greatest Common Factor

We found the factors 78,17,88 . The biggest common factor number is the GCF number.
So the greatest common factor 78,17,88 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 682/78, 220/17, 152/88

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 682/78, 220/17, 152/88?

Answer: LCM of Numerators as per given numbers 682/78, 220/17, 152/88 is

LCM of Numerators i.e. for 682,220,152 is 259160

GCF of denominators i.e. for 78,17,88 is 1.

Thus, LCM of Fractions is 259160.Finally, LCM of Fractions for 682/78, 220/17, 152/88 is 259160.