Least Common Multiple of 525/597, 965/780, 148/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 525/597, 965/780, 148/405 quickly i.e. 4998700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 525/597, 965/780, 148/405 is 4998700.

LCM(525/597, 965/780, 148/405) = 4998700

LCM of 525/597, 965/780, 148/405

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 525/597,965/780,148/405

Given numbers are 525/597,965/780,148/405

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 525,965,148

Least Common Multiple of Numerators i.e. LCM of 525,965,148 is 14996100.

GCF of Denominators means GCF of 597,780,405 as per the given fractions.

GCF of 597,780,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 525,965,148

LCM of Fractions 525/597,965/780,148/405 is 4998700

5 525, 965, 148
105, 193, 148

∴ So the LCM of the given numbers is 5 x 105 x 193 x 148 = 14996100

Least Common Multiple of 525,965,148 with GCF Formula

Least Common Multiple of 525,965,148 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 525,965,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,965,148) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(525,965,148) x common factors =1 x 5 = 5

LCM(525,965,148) = ( 525 × 965 × 148 ) / 5

LCM(525,965,148) = 74980500 / 5

LCM(525,965,148) = 14996100


Lets's calculate GCF of 597,780,405

3 597, 780, 405
199, 260, 135

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14996100/3

Therefore the LCM of Fractions 525/597,965/780,148/405 is 4998700

Greatest Common Factor of 597,780,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,780,405 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 597,780,405 . The biggest common factor number is the GCF number.
So the greatest common factor 597,780,405 is 3.


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 525/597, 965/780, 148/405

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 525/597, 965/780, 148/405?

Answer: LCM of Numerators as per given numbers 525/597, 965/780, 148/405 is

LCM of Numerators i.e. for 525,965,148 is 14996100

GCF of denominators i.e. for 597,780,405 is 3.

Thus, LCM of Fractions is 4998700.Finally, LCM of Fractions for 525/597, 965/780, 148/405 is 4998700.