Least Common Multiple of 75/19, 762/78, 315/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/19, 762/78, 315/342 quickly i.e. 400050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/19, 762/78, 315/342 is 400050.

LCM(75/19, 762/78, 315/342) = 400050

LCM of 75/19, 762/78, 315/342

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 75/19,762/78,315/342

Given numbers are 75/19,762/78,315/342

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 75,762,315

Least Common Multiple of Numerators i.e. LCM of 75,762,315 is 400050.

GCF of Denominators means GCF of 19,78,342 as per the given fractions.

GCF of 19,78,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,762,315

LCM of Fractions 75/19,762/78,315/342 is 400050

3 75, 762, 315
5 25, 254, 105
5, 254, 21

∴ So the LCM of the given numbers is 3 x 5 x 5 x 254 x 21 = 400050

Least Common Multiple of 75,762,315 with GCF Formula

Least Common Multiple of 75,762,315 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 75,762,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,762,315) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(75,762,315) x common factors =3 x 15 = 45

LCM(75,762,315) = ( 75 × 762 × 315 ) / 45

LCM(75,762,315) = 18002250 / 45

LCM(75,762,315) = 400050


Lets's calculate GCF of 19,78,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400050/1

Therefore the LCM of Fractions 75/19,762/78,315/342 is 400050

Greatest Common Factor of 19,78,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,78,342 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 19,78,342 . The biggest common factor number is the GCF number.
So the greatest common factor 19,78,342 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 75/19, 762/78, 315/342

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 75/19, 762/78, 315/342?

Answer: LCM of Numerators as per given numbers 75/19, 762/78, 315/342 is

LCM of Numerators i.e. for 75,762,315 is 400050

GCF of denominators i.e. for 19,78,342 is 1.

Thus, LCM of Fractions is 400050.Finally, LCM of Fractions for 75/19, 762/78, 315/342 is 400050.