Least Common Multiple of 52/504, 601/799, 270/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/504, 601/799, 270/474 quickly i.e. 4219020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/504, 601/799, 270/474 is 4219020.

LCM(52/504, 601/799, 270/474) = 4219020

LCM of 52/504, 601/799, 270/474

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 52/504,601/799,270/474

Given numbers are 52/504,601/799,270/474

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 52,601,270

Least Common Multiple of Numerators i.e. LCM of 52,601,270 is 4219020.

GCF of Denominators means GCF of 504,799,474 as per the given fractions.

GCF of 504,799,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,601,270

LCM of Fractions 52/504,601/799,270/474 is 4219020

2 52, 601, 270
26, 601, 135

∴ So the LCM of the given numbers is 2 x 26 x 601 x 135 = 4219020

Least Common Multiple of 52,601,270 with GCF Formula

Least Common Multiple of 52,601,270 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 52,601,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,601,270) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,601,270) x common factors =1 x 2 = 2

LCM(52,601,270) = ( 52 × 601 × 270 ) / 2

LCM(52,601,270) = 8438040 / 2

LCM(52,601,270) = 4219020


Lets's calculate GCF of 504,799,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4219020/1

Therefore the LCM of Fractions 52/504,601/799,270/474 is 4219020

Greatest Common Factor of 504,799,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,799,474 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 504,799,474 . The biggest common factor number is the GCF number.
So the greatest common factor 504,799,474 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 52/504, 601/799, 270/474

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 52/504, 601/799, 270/474?

Answer: LCM of Numerators as per given numbers 52/504, 601/799, 270/474 is

LCM of Numerators i.e. for 52,601,270 is 4219020

GCF of denominators i.e. for 504,799,474 is 1.

Thus, LCM of Fractions is 4219020.Finally, LCM of Fractions for 52/504, 601/799, 270/474 is 4219020.