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LCM of 945, 798, 345, 506, 919

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


Find the LCM of 945, 798, 345, 506, 919 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 945, 798, 345, 506, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 945,798,345,506,919

Given numbers are 945,798,345,506,919

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

The LCM of 945,798,345,506,919 is 8349326370.

Find LCM of 945,798,345,506,919 with Prime Factorization


2 945, 798, 345, 506, 919
3 945, 399, 345, 253, 919
5 315, 133, 115, 253, 919
7 63, 133, 23, 253, 919
23 9, 19, 23, 253, 919
9, 19, 1, 11, 919

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

2 x 3 x 5 x 7 x 23 x 9 x 19 x 1 x 11 x 919 = 8349326370

Therefore, the lowest common multiple of 945,798,345,506,919 is 8349326370.

LCM Formula to Find Lowest Common Multiple of 945,798,345,506,919

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.

945 x 798 x 345 x 506 x 919 = 120981739101300

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

345 : 1, 3, 5, 15, 23, 69, 115, 345

506 : 1, 2, 11, 22, 23, 46, 253, 506

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,798,345,506,919, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

798:2x 3x 7x 19

345:3x 5x 23

506:2x 11x 23

919:919

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

2x 3x 3x 5x 7x 23 = 14490

Therefore, the value for common factors is 14490.

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 = 120981739101300/(1x14490)

LCM = 120981739101300/14490

LCM = 8349326370

Thus, we can understand that the LCM of 945,798,345,506,919 is 8349326370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 945, 798, 345, 506, 919

1. What is the LCM of 945, 798, 345, 506, 919?

Answer: LCM of 945, 798, 345, 506, 919 is 8349326370.

2. How to calculate the LCM of 945, 798, 345, 506, 919?

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 945, 798, 345, 506, 919.

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}.