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LCM of 545, 399, 947, 199, 850

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


Find the LCM of 545, 399, 947, 199, 850 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 545, 399, 947, 199, 850. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 545,399,947,199,850

Given numbers are 545,399,947,199,850

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

The LCM of 545,399,947,199,850 is 6966608009550.

Find LCM of 545,399,947,199,850 with Prime Factorization


5 545, 399, 947, 199, 850
109, 399, 947, 199, 170

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

5 x 109 x 399 x 947 x 199 x 170 = 6966608009550

Therefore, the lowest common multiple of 545,399,947,199,850 is 6966608009550.

LCM Formula to Find Lowest Common Multiple of 545,399,947,199,850

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.

545 x 399 x 947 x 199 x 850 = 34833040047750

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.

545 : 1, 5, 109, 545

399 : 1, 3, 7, 19, 21, 57, 133, 399

947 : 1, 947

199 : 1, 199

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,399,947,199,850, is 1.

Now, the common factors can be found like this.

545:5x 109

399:3x 7x 19

947:947

199:199

850:2x 5x 5x 17

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

5 = 5

Therefore, the value for common factors is 5.

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 = 34833040047750/(1x5)

LCM = 34833040047750/5

LCM = 6966608009550

Thus, we can understand that the LCM of 545,399,947,199,850 is 6966608009550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 545, 399, 947, 199, 850

1. What is the LCM of 545, 399, 947, 199, 850?

Answer: LCM of 545, 399, 947, 199, 850 is 6966608009550.

2. How to calculate the LCM of 545, 399, 947, 199, 850?

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 545, 399, 947, 199, 850.

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}.