Least Common Multiple of 75/248, 36/402, 602/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/248, 36/402, 602/788 quickly i.e. 135450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/248, 36/402, 602/788 is 135450.

LCM(75/248, 36/402, 602/788) = 135450

LCM of 75/248, 36/402, 602/788

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 75/248,36/402,602/788

Given numbers are 75/248,36/402,602/788

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 75,36,602

Least Common Multiple of Numerators i.e. LCM of 75,36,602 is 270900.

GCF of Denominators means GCF of 248,402,788 as per the given fractions.

GCF of 248,402,788 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,36,602

LCM of Fractions 75/248,36/402,602/788 is 135450

2 75, 36, 602
3 75, 18, 301
25, 6, 301

∴ So the LCM of the given numbers is 2 x 3 x 25 x 6 x 301 = 270900

Least Common Multiple of 75,36,602 with GCF Formula

Least Common Multiple of 75,36,602 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 75,36,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,36,602) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,36,602) x common factors =1 x 6 = 6

LCM(75,36,602) = ( 75 × 36 × 602 ) / 6

LCM(75,36,602) = 1625400 / 6

LCM(75,36,602) = 270900


Lets's calculate GCF of 248,402,788

2 248, 402, 788
124, 201, 394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270900/2

Therefore the LCM of Fractions 75/248,36/402,602/788 is 135450

Greatest Common Factor of 248,402,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,402,788 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 248,402,788 . The biggest common factor number is the GCF number.
So the greatest common factor 248,402,788 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 75/248, 36/402, 602/788

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 75/248, 36/402, 602/788?

Answer: LCM of Numerators as per given numbers 75/248, 36/402, 602/788 is

LCM of Numerators i.e. for 75,36,602 is 270900

GCF of denominators i.e. for 248,402,788 is 2.

Thus, LCM of Fractions is 135450.Finally, LCM of Fractions for 75/248, 36/402, 602/788 is 135450.