Least Common Multiple of 845/62, 740/18, 508/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 845/62, 740/18, 508/508 quickly i.e. 7941310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 845/62, 740/18, 508/508 is 7941310.

LCM(845/62, 740/18, 508/508) = 7941310

LCM of 845/62, 740/18, 508/508

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 845/62,740/18,508/508

Given numbers are 845/62,740/18,508/508

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 845,740,508

Least Common Multiple of Numerators i.e. LCM of 845,740,508 is 15882620.

GCF of Denominators means GCF of 62,18,508 as per the given fractions.

GCF of 62,18,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 845,740,508

LCM of Fractions 845/62,740/18,508/508 is 7941310

2 845, 740, 508
2 845, 370, 254
5 845, 185, 127
169, 37, 127

∴ So the LCM of the given numbers is 2 x 2 x 5 x 169 x 37 x 127 = 15882620

Least Common Multiple of 845,740,508 with GCF Formula

Least Common Multiple of 845,740,508 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 845,740,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,740,508) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(845,740,508) x common factors =1 x 20 = 20

LCM(845,740,508) = ( 845 × 740 × 508 ) / 20

LCM(845,740,508) = 317652400 / 20

LCM(845,740,508) = 15882620


Lets's calculate GCF of 62,18,508

2 62, 18, 508
31, 9, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15882620/2

Therefore the LCM of Fractions 845/62,740/18,508/508 is 7941310

Greatest Common Factor of 62,18,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,18,508 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 62,18,508 . The biggest common factor number is the GCF number.
So the greatest common factor 62,18,508 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 845/62, 740/18, 508/508

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 845/62, 740/18, 508/508?

Answer: LCM of Numerators as per given numbers 845/62, 740/18, 508/508 is

LCM of Numerators i.e. for 845,740,508 is 15882620

GCF of denominators i.e. for 62,18,508 is 2.

Thus, LCM of Fractions is 7941310.Finally, LCM of Fractions for 845/62, 740/18, 508/508 is 7941310.