Least Common Multiple of 84/88, 129/34, 101/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/88, 129/34, 101/760 quickly i.e. 182406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/88, 129/34, 101/760 is 182406.

LCM(84/88, 129/34, 101/760) = 182406

LCM of 84/88, 129/34, 101/760

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 84/88,129/34,101/760

Given numbers are 84/88,129/34,101/760

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 84,129,101

Least Common Multiple of Numerators i.e. LCM of 84,129,101 is 364812.

GCF of Denominators means GCF of 88,34,760 as per the given fractions.

GCF of 88,34,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,129,101

LCM of Fractions 84/88,129/34,101/760 is 182406

3 84, 129, 101
28, 43, 101

∴ So the LCM of the given numbers is 3 x 28 x 43 x 101 = 364812

Least Common Multiple of 84,129,101 with GCF Formula

Least Common Multiple of 84,129,101 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 84,129,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,129,101) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,129,101) x common factors =1 x 3 = 3

LCM(84,129,101) = ( 84 × 129 × 101 ) / 3

LCM(84,129,101) = 1094436 / 3

LCM(84,129,101) = 364812


Lets's calculate GCF of 88,34,760

2 88, 34, 760
44, 17, 380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364812/2

Therefore the LCM of Fractions 84/88,129/34,101/760 is 182406

Greatest Common Factor of 88,34,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,34,760 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 88,34,760 . The biggest common factor number is the GCF number.
So the greatest common factor 88,34,760 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 84/88, 129/34, 101/760

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 84/88, 129/34, 101/760?

Answer: LCM of Numerators as per given numbers 84/88, 129/34, 101/760 is

LCM of Numerators i.e. for 84,129,101 is 364812

GCF of denominators i.e. for 88,34,760 is 2.

Thus, LCM of Fractions is 182406.Finally, LCM of Fractions for 84/88, 129/34, 101/760 is 182406.