Least Common Multiple of 553/68, 360/25, 948/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/68, 360/25, 948/239 quickly i.e. 199080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/68, 360/25, 948/239 is 199080.

LCM(553/68, 360/25, 948/239) = 199080

LCM of 553/68, 360/25, 948/239

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 553/68,360/25,948/239

Given numbers are 553/68,360/25,948/239

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 553,360,948

Least Common Multiple of Numerators i.e. LCM of 553,360,948 is 199080.

GCF of Denominators means GCF of 68,25,239 as per the given fractions.

GCF of 68,25,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,360,948

LCM of Fractions 553/68,360/25,948/239 is 199080

2 553, 360, 948
2 553, 180, 474
3 553, 90, 237
79 553, 30, 79
7, 30, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 79 x 7 x 30 x 1 = 199080

Least Common Multiple of 553,360,948 with GCF Formula

Least Common Multiple of 553,360,948 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 553,360,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,360,948) = 1

common factors(in case of two or more numbers have common factors) = 948

GCF(553,360,948) x common factors =1 x 948 = 948

LCM(553,360,948) = ( 553 × 360 × 948 ) / 948

LCM(553,360,948) = 188727840 / 948

LCM(553,360,948) = 199080


Lets's calculate GCF of 68,25,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199080/1

Therefore the LCM of Fractions 553/68,360/25,948/239 is 199080

Greatest Common Factor of 68,25,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,25,239 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 68,25,239 . The biggest common factor number is the GCF number.
So the greatest common factor 68,25,239 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 553/68, 360/25, 948/239

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 553/68, 360/25, 948/239?

Answer: LCM of Numerators as per given numbers 553/68, 360/25, 948/239 is

LCM of Numerators i.e. for 553,360,948 is 199080

GCF of denominators i.e. for 68,25,239 is 1.

Thus, LCM of Fractions is 199080.Finally, LCM of Fractions for 553/68, 360/25, 948/239 is 199080.