Least Common Multiple of 515/84, 501/1452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 515/84, 501/1452 quickly i.e. 258015/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/84, 501/1452 is 258015/12.

LCM(515/84, 501/1452) = 258015/12

LCM of 515/84, 501/1452

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 515/84,501/1452

Given numbers are 515/84,501/1452

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 515,501

Least Common Multiple of Numerators i.e. LCM of 515,501 is 258015.

GCF of Denominators means GCF of 84,1452 as per the given fractions.

GCF of 84,1452 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,501

LCM of Fractions 515/84,501/1452 is 258015/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 258015

Least Common Multiple of 515,501 with GCF Formula

Least Common Multiple of 515,501 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 515,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,501) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(515,501) x common factors =1 x 1 = 1

LCM(515,501) = ( 515 × 501 ) / 1

LCM(515,501) = 258015 / 1

LCM(515,501) = 258015


Lets's calculate GCF of 84,1452

2 84, 1452
2 42, 726
3 21, 363
7, 121

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258015/12

Therefore the LCM of Fractions 515/84,501/1452 is 258015/12

Greatest Common Factor of 84,1452 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,1452 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 1452

List of positive integer factors of 1452 that divides 1452 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452

Greatest Common Factor

We found the factors 84,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 84,1452 is 12.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 515/84, 501/1452

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 515/84, 501/1452?

Answer: LCM of Numerators as per given numbers 515/84, 501/1452 is

LCM of Numerators i.e. for 515,501 is 258015

GCF of denominators i.e. for 84,1452 is 12.

Thus, LCM of Fractions is 258015/12.Finally, LCM of Fractions for 515/84, 501/1452 is 258015/12.