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LCM of 752, 237, 141, 869, 579

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


Find the LCM of 752, 237, 141, 869, 579 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 752, 237, 141, 869, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 752,237,141,869,579

Given numbers are 752,237,141,869,579

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

The LCM of 752,237,141,869,579 is 378369552.

Find LCM of 752,237,141,869,579 with Prime Factorization


3 752, 237, 141, 869, 579
47 752, 79, 47, 869, 193
79 16, 79, 1, 869, 193
16, 1, 1, 11, 193

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

3 x 47 x 79 x 16 x 1 x 1 x 11 x 193 = 378369552

Therefore, the lowest common multiple of 752,237,141,869,579 is 378369552.

LCM Formula to Find Lowest Common Multiple of 752,237,141,869,579

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.

752 x 237 x 141 x 869 x 579 = 12643975319184

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

237 : 1, 3, 79, 237

141 : 1, 3, 47, 141

869 : 1, 11, 79, 869

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,237,141,869,579, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

237:3x 79

141:3x 47

869:11x 79

579:3x 193

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

3x 3x 47x 79 = 33417

Therefore, the value for common factors is 33417.

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 = 12643975319184/(1x33417)

LCM = 12643975319184/33417

LCM = 378369552

Thus, we can understand that the LCM of 752,237,141,869,579 is 378369552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 752, 237, 141, 869, 579

1. What is the LCM of 752, 237, 141, 869, 579?

Answer: LCM of 752, 237, 141, 869, 579 is 378369552.

2. How to calculate the LCM of 752, 237, 141, 869, 579?

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 752, 237, 141, 869, 579.

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}.