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LCM of 751, 358, 560, 850, 795

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


Find the LCM of 751, 358, 560, 850, 795 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 751, 358, 560, 850, 795. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,358,560,850,795

Given numbers are 751,358,560,850,795

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

The LCM of 751,358,560,850,795 is 1017412443600.

Find LCM of 751,358,560,850,795 with Prime Factorization


2 751, 358, 560, 850, 795
5 751, 179, 280, 425, 795
751, 179, 56, 85, 159

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

2 x 5 x 751 x 179 x 56 x 85 x 159 = 1017412443600

Therefore, the lowest common multiple of 751,358,560,850,795 is 1017412443600.

LCM Formula to Find Lowest Common Multiple of 751,358,560,850,795

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.

751 x 358 x 560 x 850 x 795 = 101741244360000

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.

751 : 1, 751

358 : 1, 2, 179, 358

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,358,560,850,795, is 1.

Now, the common factors can be found like this.

751:751

358:2x 179

560:2x 2x 2x 2x 5x 7

850:2x 5x 5x 17

795:3x 5x 53

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 101741244360000/(1x100)

LCM = 101741244360000/100

LCM = 1017412443600

Thus, we can understand that the LCM of 751,358,560,850,795 is 1017412443600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 358, 560, 850, 795

1. What is the LCM of 751, 358, 560, 850, 795?

Answer: LCM of 751, 358, 560, 850, 795 is 1017412443600.

2. How to calculate the LCM of 751, 358, 560, 850, 795?

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 751, 358, 560, 850, 795.

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}.