Least Common Multiple of 71/62, 488/97, 856/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 71/62, 488/97, 856/463 quickly i.e. 3707336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/62, 488/97, 856/463 is 3707336.

LCM(71/62, 488/97, 856/463) = 3707336

LCM of 71/62, 488/97, 856/463

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 71/62,488/97,856/463

Given numbers are 71/62,488/97,856/463

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 71,488,856

Least Common Multiple of Numerators i.e. LCM of 71,488,856 is 3707336.

GCF of Denominators means GCF of 62,97,463 as per the given fractions.

GCF of 62,97,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,488,856

LCM of Fractions 71/62,488/97,856/463 is 3707336

2 71, 488, 856
2 71, 244, 428
2 71, 122, 214
71, 61, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 61 x 107 = 3707336

Least Common Multiple of 71,488,856 with GCF Formula

Least Common Multiple of 71,488,856 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 71,488,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,488,856) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(71,488,856) x common factors =1 x 8 = 8

LCM(71,488,856) = ( 71 × 488 × 856 ) / 8

LCM(71,488,856) = 29658688 / 8

LCM(71,488,856) = 3707336


Lets's calculate GCF of 62,97,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3707336/1

Therefore the LCM of Fractions 71/62,488/97,856/463 is 3707336

Greatest Common Factor of 62,97,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,97,463 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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 62,97,463 . The biggest common factor number is the GCF number.
So the greatest common factor 62,97,463 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 71/62, 488/97, 856/463

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 71/62, 488/97, 856/463?

Answer: LCM of Numerators as per given numbers 71/62, 488/97, 856/463 is

LCM of Numerators i.e. for 71,488,856 is 3707336

GCF of denominators i.e. for 62,97,463 is 1.

Thus, LCM of Fractions is 3707336.Finally, LCM of Fractions for 71/62, 488/97, 856/463 is 3707336.