Least Common Multiple of 315/38, 620/42, 765/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/38, 620/42, 765/611 quickly i.e. 664020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/38, 620/42, 765/611 is 664020.

LCM(315/38, 620/42, 765/611) = 664020

LCM of 315/38, 620/42, 765/611

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 315/38,620/42,765/611

Given numbers are 315/38,620/42,765/611

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 315,620,765

Least Common Multiple of Numerators i.e. LCM of 315,620,765 is 664020.

GCF of Denominators means GCF of 38,42,611 as per the given fractions.

GCF of 38,42,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,620,765

LCM of Fractions 315/38,620/42,765/611 is 664020

3 315, 620, 765
3 105, 620, 255
5 35, 620, 85
7, 124, 17

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 124 x 17 = 664020

Least Common Multiple of 315,620,765 with GCF Formula

Least Common Multiple of 315,620,765 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 315,620,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,620,765) = 5

common factors(in case of two or more numbers have common factors) = 45

GCF(315,620,765) x common factors =5 x 45 = 225

LCM(315,620,765) = ( 315 × 620 × 765 ) / 225

LCM(315,620,765) = 149404500 / 225

LCM(315,620,765) = 664020


Lets's calculate GCF of 38,42,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664020/1

Therefore the LCM of Fractions 315/38,620/42,765/611 is 664020

Greatest Common Factor of 38,42,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,42,611 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 38,42,611 . The biggest common factor number is the GCF number.
So the greatest common factor 38,42,611 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 315/38, 620/42, 765/611

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 315/38, 620/42, 765/611?

Answer: LCM of Numerators as per given numbers 315/38, 620/42, 765/611 is

LCM of Numerators i.e. for 315,620,765 is 664020

GCF of denominators i.e. for 38,42,611 is 1.

Thus, LCM of Fractions is 664020.Finally, LCM of Fractions for 315/38, 620/42, 765/611 is 664020.