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LCM of 641, 447, 972, 759

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


Find the LCM of 641, 447, 972, 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 641, 447, 972, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 641,447,972,759

Given numbers are 641,447,972,759

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

The LCM of 641,447,972,759 is 23487191244.

Find LCM of 641,447,972,759 with Prime Factorization


3 641, 447, 972, 759
641, 149, 324, 253

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

3 x 641 x 149 x 324 x 253 = 23487191244

Therefore, the lowest common multiple of 641,447,972,759 is 23487191244.

LCM Formula to Find Lowest Common Multiple of 641,447,972,759

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.

641 x 447 x 972 x 759 = 211384721196

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.

641 : 1, 641

447 : 1, 3, 149, 447

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 641,447,972,759, is 1.

Now, the common factors can be found like this.

641:641

447:3x 149

972:2x 2x 3x 3x 3x 3x 3

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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 211384721196/(1x9)

LCM = 211384721196/9

LCM = 23487191244

Thus, we can understand that the LCM of 641,447,972,759 is 23487191244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 641, 447, 972, 759

1. What is the LCM of 641, 447, 972, 759?

Answer: LCM of 641, 447, 972, 759 is 23487191244.

2. How to calculate the LCM of 641, 447, 972, 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 641, 447, 972, 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}.