Least Common Multiple of 74/536, 34/592, 652/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/536, 34/592, 652/508 quickly i.e. 102527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/536, 34/592, 652/508 is 102527.

LCM(74/536, 34/592, 652/508) = 102527

LCM of 74/536, 34/592, 652/508

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 74/536,34/592,652/508

Given numbers are 74/536,34/592,652/508

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 74,34,652

Least Common Multiple of Numerators i.e. LCM of 74,34,652 is 410108.

GCF of Denominators means GCF of 536,592,508 as per the given fractions.

GCF of 536,592,508 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,34,652

LCM of Fractions 74/536,34/592,652/508 is 102527

2 74, 34, 652
37, 17, 326

∴ So the LCM of the given numbers is 2 x 37 x 17 x 326 = 410108

Least Common Multiple of 74,34,652 with GCF Formula

Least Common Multiple of 74,34,652 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 74,34,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,34,652) = 2

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

GCF(74,34,652) x common factors =2 x 2 = 4

LCM(74,34,652) = ( 74 × 34 × 652 ) / 4

LCM(74,34,652) = 1640432 / 4

LCM(74,34,652) = 410108


Lets's calculate GCF of 536,592,508

2 536, 592, 508
2 268, 296, 254
134, 148, 127

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410108/4

Therefore the LCM of Fractions 74/536,34/592,652/508 is 102527

Greatest Common Factor of 536,592,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,592,508 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 536,592,508 . The biggest common factor number is the GCF number.
So the greatest common factor 536,592,508 is 4.


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 74/536, 34/592, 652/508

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 74/536, 34/592, 652/508?

Answer: LCM of Numerators as per given numbers 74/536, 34/592, 652/508 is

LCM of Numerators i.e. for 74,34,652 is 410108

GCF of denominators i.e. for 536,592,508 is 4.

Thus, LCM of Fractions is 102527.Finally, LCM of Fractions for 74/536, 34/592, 652/508 is 102527.