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LCM of 981, 460, 738, 947, 828

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


Find the LCM of 981, 460, 738, 947, 828 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 981, 460, 738, 947, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,460,738,947,828

Given numbers are 981,460,738,947,828

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

The LCM of 981,460,738,947,828 is 17521072020.

Find LCM of 981,460,738,947,828 with Prime Factorization


2 981, 460, 738, 947, 828
2 981, 230, 369, 947, 414
3 981, 115, 369, 947, 207
3 327, 115, 123, 947, 69
23 109, 115, 41, 947, 23
109, 5, 41, 947, 1

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

2 x 2 x 3 x 3 x 23 x 109 x 5 x 41 x 947 x 1 = 17521072020

Therefore, the lowest common multiple of 981,460,738,947,828 is 17521072020.

LCM Formula to Find Lowest Common Multiple of 981,460,738,947,828

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.

981 x 460 x 738 x 947 x 828 = 261134057386080

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.

981 : 1, 3, 9, 109, 327, 981

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

947 : 1, 947

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,460,738,947,828, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

460:2x 2x 5x 23

738:2x 3x 3x 41

947:947

828:2x 2x 3x 3x 23

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 2x 3x 3x 3x 3x 23 = 14904

Therefore, the value for common factors is 14904.

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 = 261134057386080/(1x14904)

LCM = 261134057386080/14904

LCM = 17521072020

Thus, we can understand that the LCM of 981,460,738,947,828 is 17521072020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 460, 738, 947, 828

1. What is the LCM of 981, 460, 738, 947, 828?

Answer: LCM of 981, 460, 738, 947, 828 is 17521072020.

2. How to calculate the LCM of 981, 460, 738, 947, 828?

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 981, 460, 738, 947, 828.

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}.