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LCM of 464, 278, 781, 870

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


Find the LCM of 464, 278, 781, 870 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 464, 278, 781, 870. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,278,781,870

Given numbers are 464,278,781,870

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

The LCM of 464,278,781,870 is 755570640.

Find LCM of 464,278,781,870 with Prime Factorization


2 464, 278, 781, 870
29 232, 139, 781, 435
8, 139, 781, 15

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

2 x 29 x 8 x 139 x 781 x 15 = 755570640

Therefore, the lowest common multiple of 464,278,781,870 is 755570640.

LCM Formula to Find Lowest Common Multiple of 464,278,781,870

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.

464 x 278 x 781 x 870 = 87646194240

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

278 : 1, 2, 139, 278

781 : 1, 11, 71, 781

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,278,781,870, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

278:2x 139

781:11x 71

870:2x 3x 5x 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 29 = 116

Therefore, the value for common factors is 116.

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 = 87646194240/(1x116)

LCM = 87646194240/116

LCM = 755570640

Thus, we can understand that the LCM of 464,278,781,870 is 755570640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 278, 781, 870

1. What is the LCM of 464, 278, 781, 870?

Answer: LCM of 464, 278, 781, 870 is 755570640.

2. How to calculate the LCM of 464, 278, 781, 870?

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 464, 278, 781, 870.

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}.