Least Common Multiple of 52/513, 888/13, 814/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/513, 888/13, 814/670 quickly i.e. 126984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/513, 888/13, 814/670 is 126984.

LCM(52/513, 888/13, 814/670) = 126984

LCM of 52/513, 888/13, 814/670

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 52/513,888/13,814/670

Given numbers are 52/513,888/13,814/670

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 52,888,814

Least Common Multiple of Numerators i.e. LCM of 52,888,814 is 126984.

GCF of Denominators means GCF of 513,13,670 as per the given fractions.

GCF of 513,13,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,888,814

LCM of Fractions 52/513,888/13,814/670 is 126984

2 52, 888, 814
2 26, 444, 407
37 13, 222, 407
13, 6, 11

∴ So the LCM of the given numbers is 2 x 2 x 37 x 13 x 6 x 11 = 126984

Least Common Multiple of 52,888,814 with GCF Formula

Least Common Multiple of 52,888,814 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 52,888,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,888,814) = 2

common factors(in case of two or more numbers have common factors) = 148

GCF(52,888,814) x common factors =2 x 148 = 296

LCM(52,888,814) = ( 52 × 888 × 814 ) / 296

LCM(52,888,814) = 37587264 / 296

LCM(52,888,814) = 126984


Lets's calculate GCF of 513,13,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126984/1

Therefore the LCM of Fractions 52/513,888/13,814/670 is 126984

Greatest Common Factor of 513,13,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,13,670 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 513,13,670 . The biggest common factor number is the GCF number.
So the greatest common factor 513,13,670 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 52/513, 888/13, 814/670

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 52/513, 888/13, 814/670?

Answer: LCM of Numerators as per given numbers 52/513, 888/13, 814/670 is

LCM of Numerators i.e. for 52,888,814 is 126984

GCF of denominators i.e. for 513,13,670 is 1.

Thus, LCM of Fractions is 126984.Finally, LCM of Fractions for 52/513, 888/13, 814/670 is 126984.