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LCM of 363, 850, 871, 947, 316

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


Find the LCM of 363, 850, 871, 947, 316 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 363, 850, 871, 947, 316. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,850,871,947,316

Given numbers are 363,850,871,947,316

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

The LCM of 363,850,871,947,316 is 40211546103300.

Find LCM of 363,850,871,947,316 with Prime Factorization


2 363, 850, 871, 947, 316
363, 425, 871, 947, 158

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

2 x 363 x 425 x 871 x 947 x 158 = 40211546103300

Therefore, the lowest common multiple of 363,850,871,947,316 is 40211546103300.

LCM Formula to Find Lowest Common Multiple of 363,850,871,947,316

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.

363 x 850 x 871 x 947 x 316 = 80423092206600

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.

363 : 1, 3, 11, 33, 121, 363

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

871 : 1, 13, 67, 871

947 : 1, 947

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,850,871,947,316, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

850:2x 5x 5x 17

871:13x 67

947:947

316:2x 2x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 80423092206600/(1x2)

LCM = 80423092206600/2

LCM = 40211546103300

Thus, we can understand that the LCM of 363,850,871,947,316 is 40211546103300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 850, 871, 947, 316

1. What is the LCM of 363, 850, 871, 947, 316?

Answer: LCM of 363, 850, 871, 947, 316 is 40211546103300.

2. How to calculate the LCM of 363, 850, 871, 947, 316?

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 363, 850, 871, 947, 316.

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}.