Least Common Multiple of 5920/812, 4576/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5920/812, 4576/145 quickly i.e. 846560/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5920/812, 4576/145 is 846560/29.

LCM(5920/812, 4576/145) = 846560/29

LCM of 5920/812, 4576/145

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 5920/812,4576/145

Given numbers are 5920/812,4576/145

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 5920,4576

Least Common Multiple of Numerators i.e. LCM of 5920,4576 is 846560.

GCF of Denominators means GCF of 812,145 as per the given fractions.

GCF of 812,145 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5920,4576

LCM of Fractions 5920/812,4576/145 is 846560/29

2 5920, 4576
2 2960, 2288
2 1480, 1144
2 740, 572
2 370, 286
185, 143

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 185 x 143 = 846560

Least Common Multiple of 5920,4576 with GCF Formula

Least Common Multiple of 5920,4576 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 5920,4576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5920,4576) = 32

common factors(in case of two or more numbers have common factors) = 1

GCF(5920,4576) x common factors =32 x 1 = 32

LCM(5920,4576) = ( 5920 × 4576 ) / 32

LCM(5920,4576) = 27089920 / 32

LCM(5920,4576) = 846560


Lets's calculate GCF of 812,145

29 812, 145
28, 5

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 846560/29

Therefore the LCM of Fractions 5920/812,4576/145 is 846560/29

Greatest Common Factor of 812,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,145 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 812,145 . The biggest common factor number is the GCF number.
So the greatest common factor 812,145 is 29.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5920/812, 4576/145

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 5920/812, 4576/145?

Answer: LCM of Numerators as per given numbers 5920/812, 4576/145 is

LCM of Numerators i.e. for 5920,4576 is 846560

GCF of denominators i.e. for 812,145 is 29.

Thus, LCM of Fractions is 846560/29.Finally, LCM of Fractions for 5920/812, 4576/145 is 846560/29.