Least Common Multiple of 525/92, 615/42, 465/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 525/92, 615/42, 465/765 quickly i.e. 667275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 525/92, 615/42, 465/765 is 667275.

LCM(525/92, 615/42, 465/765) = 667275

LCM of 525/92, 615/42, 465/765

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 525/92,615/42,465/765

Given numbers are 525/92,615/42,465/765

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 525,615,465

Least Common Multiple of Numerators i.e. LCM of 525,615,465 is 667275.

GCF of Denominators means GCF of 92,42,765 as per the given fractions.

GCF of 92,42,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 525,615,465

LCM of Fractions 525/92,615/42,465/765 is 667275

3 525, 615, 465
5 175, 205, 155
35, 41, 31

∴ So the LCM of the given numbers is 3 x 5 x 35 x 41 x 31 = 667275

Least Common Multiple of 525,615,465 with GCF Formula

Least Common Multiple of 525,615,465 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 525,615,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,615,465) = 15

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

GCF(525,615,465) x common factors =15 x 15 = 225

LCM(525,615,465) = ( 525 × 615 × 465 ) / 225

LCM(525,615,465) = 150136875 / 225

LCM(525,615,465) = 667275


Lets's calculate GCF of 92,42,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 667275/1

Therefore the LCM of Fractions 525/92,615/42,465/765 is 667275

Greatest Common Factor of 92,42,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,42,765 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

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 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 92,42,765 . The biggest common factor number is the GCF number.
So the greatest common factor 92,42,765 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 525/92, 615/42, 465/765

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 525/92, 615/42, 465/765?

Answer: LCM of Numerators as per given numbers 525/92, 615/42, 465/765 is

LCM of Numerators i.e. for 525,615,465 is 667275

GCF of denominators i.e. for 92,42,765 is 1.

Thus, LCM of Fractions is 667275.Finally, LCM of Fractions for 525/92, 615/42, 465/765 is 667275.