Least Common Multiple of 62/594, 167/508, 868/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/594, 167/508, 868/148 quickly i.e. 72478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/594, 167/508, 868/148 is 72478.

LCM(62/594, 167/508, 868/148) = 72478

LCM of 62/594, 167/508, 868/148

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 62/594,167/508,868/148

Given numbers are 62/594,167/508,868/148

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 62,167,868

Least Common Multiple of Numerators i.e. LCM of 62,167,868 is 144956.

GCF of Denominators means GCF of 594,508,148 as per the given fractions.

GCF of 594,508,148 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,167,868

LCM of Fractions 62/594,167/508,868/148 is 72478

2 62, 167, 868
31 31, 167, 434
1, 167, 14

∴ So the LCM of the given numbers is 2 x 31 x 1 x 167 x 14 = 144956

Least Common Multiple of 62,167,868 with GCF Formula

Least Common Multiple of 62,167,868 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 62,167,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,167,868) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(62,167,868) x common factors =1 x 62 = 62

LCM(62,167,868) = ( 62 × 167 × 868 ) / 62

LCM(62,167,868) = 8987272 / 62

LCM(62,167,868) = 144956


Lets's calculate GCF of 594,508,148

2 594, 508, 148
297, 254, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144956/2

Therefore the LCM of Fractions 62/594,167/508,868/148 is 72478

Greatest Common Factor of 594,508,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,508,148 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 508

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

1,2,4,127,254,508

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 594,508,148 . The biggest common factor number is the GCF number.
So the greatest common factor 594,508,148 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/594, 167/508, 868/148

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 62/594, 167/508, 868/148?

Answer: LCM of Numerators as per given numbers 62/594, 167/508, 868/148 is

LCM of Numerators i.e. for 62,167,868 is 144956

GCF of denominators i.e. for 594,508,148 is 2.

Thus, LCM of Fractions is 72478.Finally, LCM of Fractions for 62/594, 167/508, 868/148 is 72478.