Least Common Multiple of 62/376, 620/517, 510/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/376, 620/517, 510/459 quickly i.e. 31620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/376, 620/517, 510/459 is 31620.

LCM(62/376, 620/517, 510/459) = 31620

LCM of 62/376, 620/517, 510/459

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 62/376,620/517,510/459

Given numbers are 62/376,620/517,510/459

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 62,620,510

Least Common Multiple of Numerators i.e. LCM of 62,620,510 is 31620.

GCF of Denominators means GCF of 376,517,459 as per the given fractions.

GCF of 376,517,459 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,620,510

LCM of Fractions 62/376,620/517,510/459 is 31620

2 62, 620, 510
5 31, 310, 255
31 31, 62, 51
1, 2, 51

∴ So the LCM of the given numbers is 2 x 5 x 31 x 1 x 2 x 51 = 31620

Least Common Multiple of 62,620,510 with GCF Formula

Least Common Multiple of 62,620,510 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 62,620,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,620,510) = 2

common factors(in case of two or more numbers have common factors) = 310

GCF(62,620,510) x common factors =2 x 310 = 620

LCM(62,620,510) = ( 62 × 620 × 510 ) / 620

LCM(62,620,510) = 19604400 / 620

LCM(62,620,510) = 31620


Lets's calculate GCF of 376,517,459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31620/1

Therefore the LCM of Fractions 62/376,620/517,510/459 is 31620

Greatest Common Factor of 376,517,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,517,459 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 376,517,459 . The biggest common factor number is the GCF number.
So the greatest common factor 376,517,459 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/376, 620/517, 510/459

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 62/376, 620/517, 510/459?

Answer: LCM of Numerators as per given numbers 62/376, 620/517, 510/459 is

LCM of Numerators i.e. for 62,620,510 is 31620

GCF of denominators i.e. for 376,517,459 is 1.

Thus, LCM of Fractions is 31620.Finally, LCM of Fractions for 62/376, 620/517, 510/459 is 31620.