Least Common Multiple of 7/88, 67/506, 29/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/88, 67/506, 29/880 quickly i.e. 13601/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/88, 67/506, 29/880 is 13601/22.

LCM(7/88, 67/506, 29/880) = 13601/22

LCM of 7/88, 67/506, 29/880

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 7/88,67/506,29/880

Given numbers are 7/88,67/506,29/880

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 7,67,29

Least Common Multiple of Numerators i.e. LCM of 7,67,29 is 13601.

GCF of Denominators means GCF of 88,506,880 as per the given fractions.

GCF of 88,506,880 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,67,29

LCM of Fractions 7/88,67/506,29/880 is 13601/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 13601

Least Common Multiple of 7,67,29 with GCF Formula

Least Common Multiple of 7,67,29 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 7,67,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,67,29) = 1

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

GCF(7,67,29) x common factors =1 x 1 = 1

LCM(7,67,29) = ( 7 × 67 × 29 ) / 1

LCM(7,67,29) = 13601 / 1

LCM(7,67,29) = 13601


Lets's calculate GCF of 88,506,880

2 88, 506, 880
11 44, 253, 440
4, 23, 40

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13601/22

Therefore the LCM of Fractions 7/88,67/506,29/880 is 13601/22

Greatest Common Factor of 88,506,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,506,880 By Matching Biggest Common Factor Method

Factors of 88

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

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

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 88,506,880 . The biggest common factor number is the GCF number.
So the greatest common factor 88,506,880 is 22.


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 7/88, 67/506, 29/880

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 7/88, 67/506, 29/880?

Answer: LCM of Numerators as per given numbers 7/88, 67/506, 29/880 is

LCM of Numerators i.e. for 7,67,29 is 13601

GCF of denominators i.e. for 88,506,880 is 22.

Thus, LCM of Fractions is 13601/22.Finally, LCM of Fractions for 7/88, 67/506, 29/880 is 13601/22.