Least Common Multiple of 82/62, 742/61, 662/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/62, 742/61, 662/455 quickly i.e. 10069682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/62, 742/61, 662/455 is 10069682.

LCM(82/62, 742/61, 662/455) = 10069682

LCM of 82/62, 742/61, 662/455

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 82/62,742/61,662/455

Given numbers are 82/62,742/61,662/455

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 82,742,662

Least Common Multiple of Numerators i.e. LCM of 82,742,662 is 10069682.

GCF of Denominators means GCF of 62,61,455 as per the given fractions.

GCF of 62,61,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,742,662

LCM of Fractions 82/62,742/61,662/455 is 10069682

2 82, 742, 662
41, 371, 331

∴ So the LCM of the given numbers is 2 x 41 x 371 x 331 = 10069682

Least Common Multiple of 82,742,662 with GCF Formula

Least Common Multiple of 82,742,662 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 82,742,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,742,662) = 2

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

GCF(82,742,662) x common factors =2 x 2 = 4

LCM(82,742,662) = ( 82 × 742 × 662 ) / 4

LCM(82,742,662) = 40278728 / 4

LCM(82,742,662) = 10069682


Lets's calculate GCF of 62,61,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10069682/1

Therefore the LCM of Fractions 82/62,742/61,662/455 is 10069682

Greatest Common Factor of 62,61,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,61,455 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 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 62,61,455 . The biggest common factor number is the GCF number.
So the greatest common factor 62,61,455 is 1.


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Frequently Asked Questions on Fractional LCM of 82/62, 742/61, 662/455

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 82/62, 742/61, 662/455?

Answer: LCM of Numerators as per given numbers 82/62, 742/61, 662/455 is

LCM of Numerators i.e. for 82,742,662 is 10069682

GCF of denominators i.e. for 62,61,455 is 1.

Thus, LCM of Fractions is 10069682.Finally, LCM of Fractions for 82/62, 742/61, 662/455 is 10069682.