Least Common Multiple of 34/104, 484/100, 248/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/104, 484/100, 248/272 quickly i.e. 127534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/104, 484/100, 248/272 is 127534.

LCM(34/104, 484/100, 248/272) = 127534

LCM of 34/104, 484/100, 248/272

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 34/104,484/100,248/272

Given numbers are 34/104,484/100,248/272

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 34,484,248

Least Common Multiple of Numerators i.e. LCM of 34,484,248 is 510136.

GCF of Denominators means GCF of 104,100,272 as per the given fractions.

GCF of 104,100,272 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,484,248

LCM of Fractions 34/104,484/100,248/272 is 127534

2 34, 484, 248
2 17, 242, 124
17, 121, 62

∴ So the LCM of the given numbers is 2 x 2 x 17 x 121 x 62 = 510136

Least Common Multiple of 34,484,248 with GCF Formula

Least Common Multiple of 34,484,248 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 34,484,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,484,248) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(34,484,248) x common factors =2 x 4 = 8

LCM(34,484,248) = ( 34 × 484 × 248 ) / 8

LCM(34,484,248) = 4081088 / 8

LCM(34,484,248) = 510136


Lets's calculate GCF of 104,100,272

2 104, 100, 272
2 52, 50, 136
26, 25, 68

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510136/4

Therefore the LCM of Fractions 34/104,484/100,248/272 is 127534

Greatest Common Factor of 104,100,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,100,272 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 104,100,272 . The biggest common factor number is the GCF number.
So the greatest common factor 104,100,272 is 4.


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 34/104, 484/100, 248/272

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 34/104, 484/100, 248/272?

Answer: LCM of Numerators as per given numbers 34/104, 484/100, 248/272 is

LCM of Numerators i.e. for 34,484,248 is 510136

GCF of denominators i.e. for 104,100,272 is 4.

Thus, LCM of Fractions is 127534.Finally, LCM of Fractions for 34/104, 484/100, 248/272 is 127534.