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LCM of 783, 227, 437, 760, 710

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


Find the LCM of 783, 227, 437, 760, 710 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 783, 227, 437, 760, 710. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 783,227,437,760,710

Given numbers are 783,227,437,760,710

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

The LCM of 783,227,437,760,710 is 220590800280.

Find LCM of 783,227,437,760,710 with Prime Factorization


2 783, 227, 437, 760, 710
5 783, 227, 437, 380, 355
19 783, 227, 437, 76, 71
783, 227, 23, 4, 71

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

2 x 5 x 19 x 783 x 227 x 23 x 4 x 71 = 220590800280

Therefore, the lowest common multiple of 783,227,437,760,710 is 220590800280.

LCM Formula to Find Lowest Common Multiple of 783,227,437,760,710

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.

783 x 227 x 437 x 760 x 710 = 41912252053200

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

227 : 1, 227

437 : 1, 19, 23, 437

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

710 : 1, 2, 5, 10, 71, 142, 355, 710

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,227,437,760,710, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

227:227

437:19x 23

760:2x 2x 2x 5x 19

710:2x 5x 71

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

2x 5x 19 = 190

Therefore, the value for common factors is 190.

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 = 41912252053200/(1x190)

LCM = 41912252053200/190

LCM = 220590800280

Thus, we can understand that the LCM of 783,227,437,760,710 is 220590800280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 783, 227, 437, 760, 710

1. What is the LCM of 783, 227, 437, 760, 710?

Answer: LCM of 783, 227, 437, 760, 710 is 220590800280.

2. How to calculate the LCM of 783, 227, 437, 760, 710?

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 783, 227, 437, 760, 710.

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}.