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LCM of 119, 577, 479, 923, 260

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 119, 577, 479, 923, 260 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 119, 577, 479, 923, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,577,479,923,260

Given numbers are 119,577,479,923,260

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 119,577,479,923,260 is 607141591420.

Find LCM of 119,577,479,923,260 with Prime Factorization


13 119, 577, 479, 923, 260
119, 577, 479, 71, 20

Multiply the prime numbers at the bottom and the left side.

13 x 119 x 577 x 479 x 71 x 20 = 607141591420

Therefore, the lowest common multiple of 119,577,479,923,260 is 607141591420.

LCM Formula to Find Lowest Common Multiple of 119,577,479,923,260

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

119 x 577 x 479 x 923 x 260 = 7892840688460

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

119 : 1, 7, 17, 119

577 : 1, 577

479 : 1, 479

923 : 1, 13, 71, 923

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,577,479,923,260, is 1.

Now, the common factors can be found like this.

119:7x 17

577:577

479:479

923:13x 71

260:2x 2x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 7892840688460/(1x13)

LCM = 7892840688460/13

LCM = 607141591420

Thus, we can understand that the LCM of 119,577,479,923,260 is 607141591420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 119, 577, 479, 923, 260

1. What is the LCM of 119, 577, 479, 923, 260?

Answer: LCM of 119, 577, 479, 923, 260 is 607141591420.

2. How to calculate the LCM of 119, 577, 479, 923, 260?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 119, 577, 479, 923, 260.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.