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LCM of 145, 613, 392, 354, 920

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


Find the LCM of 145, 613, 392, 354, 920 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 145, 613, 392, 354, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 145,613,392,354,920

Given numbers are 145,613,392,354,920

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

The LCM of 145,613,392,354,920 is 141845527320.

Find LCM of 145,613,392,354,920 with Prime Factorization


2 145, 613, 392, 354, 920
2 145, 613, 196, 177, 460
2 145, 613, 98, 177, 230
5 145, 613, 49, 177, 115
29, 613, 49, 177, 23

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

2 x 2 x 2 x 5 x 29 x 613 x 49 x 177 x 23 = 141845527320

Therefore, the lowest common multiple of 145,613,392,354,920 is 141845527320.

LCM Formula to Find Lowest Common Multiple of 145,613,392,354,920

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.

145 x 613 x 392 x 354 x 920 = 11347642185600

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.

145 : 1, 5, 29, 145

613 : 1, 613

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

354 : 1, 2, 3, 6, 59, 118, 177, 354

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,613,392,354,920, is 1.

Now, the common factors can be found like this.

145:5x 29

613:613

392:2x 2x 2x 7x 7

354:2x 3x 59

920:2x 2x 2x 5x 23

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

2x 2x 2x 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 11347642185600/(1x80)

LCM = 11347642185600/80

LCM = 141845527320

Thus, we can understand that the LCM of 145,613,392,354,920 is 141845527320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 145, 613, 392, 354, 920

1. What is the LCM of 145, 613, 392, 354, 920?

Answer: LCM of 145, 613, 392, 354, 920 is 141845527320.

2. How to calculate the LCM of 145, 613, 392, 354, 920?

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 145, 613, 392, 354, 920.

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}.