Least Common Multiple of 62/51, 790/56, 584/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/51, 790/56, 584/964 quickly i.e. 7151080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/51, 790/56, 584/964 is 7151080.

LCM(62/51, 790/56, 584/964) = 7151080

LCM of 62/51, 790/56, 584/964

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 62/51,790/56,584/964

Given numbers are 62/51,790/56,584/964

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 62,790,584

Least Common Multiple of Numerators i.e. LCM of 62,790,584 is 7151080.

GCF of Denominators means GCF of 51,56,964 as per the given fractions.

GCF of 51,56,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,790,584

LCM of Fractions 62/51,790/56,584/964 is 7151080

2 62, 790, 584
31, 395, 292

∴ So the LCM of the given numbers is 2 x 31 x 395 x 292 = 7151080

Least Common Multiple of 62,790,584 with GCF Formula

Least Common Multiple of 62,790,584 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 62,790,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,790,584) = 2

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

GCF(62,790,584) x common factors =2 x 2 = 4

LCM(62,790,584) = ( 62 × 790 × 584 ) / 4

LCM(62,790,584) = 28604320 / 4

LCM(62,790,584) = 7151080


Lets's calculate GCF of 51,56,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7151080/1

Therefore the LCM of Fractions 62/51,790/56,584/964 is 7151080

Greatest Common Factor of 51,56,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,56,964 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 51,56,964 . The biggest common factor number is the GCF number.
So the greatest common factor 51,56,964 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/51, 790/56, 584/964

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 62/51, 790/56, 584/964?

Answer: LCM of Numerators as per given numbers 62/51, 790/56, 584/964 is

LCM of Numerators i.e. for 62,790,584 is 7151080

GCF of denominators i.e. for 51,56,964 is 1.

Thus, LCM of Fractions is 7151080.Finally, LCM of Fractions for 62/51, 790/56, 584/964 is 7151080.