Least Common Multiple of 68/174, 80/348, 520/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/174, 80/348, 520/802 quickly i.e. 8840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/174, 80/348, 520/802 is 8840.

LCM(68/174, 80/348, 520/802) = 8840

LCM of 68/174, 80/348, 520/802

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 68/174,80/348,520/802

Given numbers are 68/174,80/348,520/802

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 68,80,520

Least Common Multiple of Numerators i.e. LCM of 68,80,520 is 17680.

GCF of Denominators means GCF of 174,348,802 as per the given fractions.

GCF of 174,348,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,80,520

LCM of Fractions 68/174,80/348,520/802 is 8840

2 68, 80, 520
2 34, 40, 260
2 17, 20, 130
5 17, 10, 65
17, 2, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 17 x 2 x 13 = 17680

Least Common Multiple of 68,80,520 with GCF Formula

Least Common Multiple of 68,80,520 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 68,80,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,80,520) = 4

common factors(in case of two or more numbers have common factors) = 40

GCF(68,80,520) x common factors =4 x 40 = 160

LCM(68,80,520) = ( 68 × 80 × 520 ) / 160

LCM(68,80,520) = 2828800 / 160

LCM(68,80,520) = 17680


Lets's calculate GCF of 174,348,802

2 174, 348, 802
87, 174, 401

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17680/2

Therefore the LCM of Fractions 68/174,80/348,520/802 is 8840

Greatest Common Factor of 174,348,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,348,802 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 174,348,802 . The biggest common factor number is the GCF number.
So the greatest common factor 174,348,802 is 2.


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 68/174, 80/348, 520/802

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 68/174, 80/348, 520/802?

Answer: LCM of Numerators as per given numbers 68/174, 80/348, 520/802 is

LCM of Numerators i.e. for 68,80,520 is 17680

GCF of denominators i.e. for 174,348,802 is 2.

Thus, LCM of Fractions is 8840.Finally, LCM of Fractions for 68/174, 80/348, 520/802 is 8840.