Least Common Multiple of 62/94, 78/13, 76/61, 46/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/94, 78/13, 76/61, 46/465 quickly i.e. 2113332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/94, 78/13, 76/61, 46/465 is 2113332.

LCM(62/94, 78/13, 76/61, 46/465) = 2113332

LCM of 62/94, 78/13, 76/61, 46/465

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 62/94,78/13,76/61,46/465

Given numbers are 62/94,78/13,76/61,46/465

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 62,78,76,46

Least Common Multiple of Numerators i.e. LCM of 62,78,76,46 is 2113332.

GCF of Denominators means GCF of 94,13,61,465 as per the given fractions.

GCF of 94,13,61,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,78,76,46

LCM of Fractions 62/94,78/13,76/61,46/465 is 2113332

2 62, 78, 76, 46
31, 39, 38, 23

∴ So the LCM of the given numbers is 2 x 31 x 39 x 38 x 23 = 2113332

Least Common Multiple of 62,78,76,46 with GCF Formula

Least Common Multiple of 62,78,76,46 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 62,78,76,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,78,76,46) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(62,78,76,46) x common factors =2 x 4 = 8

LCM(62,78,76,46) = ( 62 × 78 × 76 × 46 ) / 8

LCM(62,78,76,46) = 16906656 / 8

LCM(62,78,76,46) = 2113332


Lets's calculate GCF of 94,13,61,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2113332/1

Therefore the LCM of Fractions 62/94,78/13,76/61,46/465 is 2113332

Greatest Common Factor of 94,13,61,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,13,61,465 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 61

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

1,61

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 94,13,61,465 . The biggest common factor number is the GCF number.
So the greatest common factor 94,13,61,465 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/94, 78/13, 76/61, 46/465

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 62/94, 78/13, 76/61, 46/465?

Answer: LCM of Numerators as per given numbers 62/94, 78/13, 76/61, 46/465 is

LCM of Numerators i.e. for 62,78,76,46 is 2113332

GCF of denominators i.e. for 94,13,61,465 is 1.

Thus, LCM of Fractions is 2113332.Finally, LCM of Fractions for 62/94, 78/13, 76/61, 46/465 is 2113332.