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LCM of 732, 456, 501, 840, 847

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


Find the LCM of 732, 456, 501, 840, 847 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 732, 456, 501, 840, 847. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 732,456,501,840,847

Given numbers are 732,456,501,840,847

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

The LCM of 732,456,501,840,847 is 19672726920.

Find LCM of 732,456,501,840,847 with Prime Factorization


2 732, 456, 501, 840, 847
2 366, 228, 501, 420, 847
2 183, 114, 501, 210, 847
3 183, 57, 501, 105, 847
7 61, 19, 167, 35, 847
61, 19, 167, 5, 121

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

2 x 2 x 2 x 3 x 7 x 61 x 19 x 167 x 5 x 121 = 19672726920

Therefore, the lowest common multiple of 732,456,501,840,847 is 19672726920.

LCM Formula to Find Lowest Common Multiple of 732,456,501,840,847

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.

732 x 456 x 501 x 840 x 847 = 118980652412160

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

501 : 1, 3, 167, 501

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

847 : 1, 7, 11, 77, 121, 847

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,456,501,840,847, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

456:2x 2x 2x 3x 19

501:3x 167

840:2x 2x 2x 3x 5x 7

847:7x 11x 11

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 2x 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 118980652412160/(1x6048)

LCM = 118980652412160/6048

LCM = 19672726920

Thus, we can understand that the LCM of 732,456,501,840,847 is 19672726920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 732, 456, 501, 840, 847

1. What is the LCM of 732, 456, 501, 840, 847?

Answer: LCM of 732, 456, 501, 840, 847 is 19672726920.

2. How to calculate the LCM of 732, 456, 501, 840, 847?

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 732, 456, 501, 840, 847.

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}.