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LCM of 472, 140, 731, 812

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


Find the LCM of 472, 140, 731, 812 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 472, 140, 731, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 472,140,731,812

Given numbers are 472,140,731,812

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

The LCM of 472,140,731,812 is 350207480.

Find LCM of 472,140,731,812 with Prime Factorization


2 472, 140, 731, 812
2 236, 70, 731, 406
7 118, 35, 731, 203
118, 5, 731, 29

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

2 x 2 x 7 x 118 x 5 x 731 x 29 = 350207480

Therefore, the lowest common multiple of 472,140,731,812 is 350207480.

LCM Formula to Find Lowest Common Multiple of 472,140,731,812

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.

472 x 140 x 731 x 812 = 39223237760

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

731 : 1, 17, 43, 731

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,140,731,812, is 1.

Now, the common factors can be found like this.

472:2x 2x 2x 59

140:2x 2x 5x 7

731:17x 43

812:2x 2x 7x 29

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 39223237760/(1x112)

LCM = 39223237760/112

LCM = 350207480

Thus, we can understand that the LCM of 472,140,731,812 is 350207480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 472, 140, 731, 812

1. What is the LCM of 472, 140, 731, 812?

Answer: LCM of 472, 140, 731, 812 is 350207480.

2. How to calculate the LCM of 472, 140, 731, 812?

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 472, 140, 731, 812.

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}.