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LCM of 823, 438, 440, 118, 759

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


Find the LCM of 823, 438, 440, 118, 759 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 823, 438, 440, 118, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 823,438,440,118,759

Given numbers are 823,438,440,118,759

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

The LCM of 823,438,440,118,759 is 107615907960.

Find LCM of 823,438,440,118,759 with Prime Factorization


2 823, 438, 440, 118, 759
3 823, 219, 220, 59, 759
11 823, 73, 220, 59, 253
823, 73, 20, 59, 23

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

2 x 3 x 11 x 823 x 73 x 20 x 59 x 23 = 107615907960

Therefore, the lowest common multiple of 823,438,440,118,759 is 107615907960.

LCM Formula to Find Lowest Common Multiple of 823,438,440,118,759

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.

823 x 438 x 440 x 118 x 759 = 14205299850720

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.

823 : 1, 823

438 : 1, 2, 3, 6, 73, 146, 219, 438

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

118 : 1, 2, 59, 118

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,438,440,118,759, is 1.

Now, the common factors can be found like this.

823:823

438:2x 3x 73

440:2x 2x 2x 5x 11

118:2x 59

759:3x 11x 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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 14205299850720/(1x132)

LCM = 14205299850720/132

LCM = 107615907960

Thus, we can understand that the LCM of 823,438,440,118,759 is 107615907960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 823, 438, 440, 118, 759

1. What is the LCM of 823, 438, 440, 118, 759?

Answer: LCM of 823, 438, 440, 118, 759 is 107615907960.

2. How to calculate the LCM of 823, 438, 440, 118, 759?

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 823, 438, 440, 118, 759.

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}.