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LCM of 236, 714, 767, 440

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


Find the LCM of 236, 714, 767, 440 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 236, 714, 767, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 236,714,767,440

Given numbers are 236,714,767,440

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

The LCM of 236,714,767,440 is 120480360.

Find LCM of 236,714,767,440 with Prime Factorization


2 236, 714, 767, 440
2 118, 357, 767, 220
59 59, 357, 767, 110
1, 357, 13, 110

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

2 x 2 x 59 x 1 x 357 x 13 x 110 = 120480360

Therefore, the lowest common multiple of 236,714,767,440 is 120480360.

LCM Formula to Find Lowest Common Multiple of 236,714,767,440

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.

236 x 714 x 767 x 440 = 56866729920

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.

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

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

767 : 1, 13, 59, 767

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,714,767,440, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

714:2x 3x 7x 17

767:13x 59

440:2x 2x 2x 5x 11

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 59 = 472

Therefore, the value for common factors is 472.

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 = 56866729920/(1x472)

LCM = 56866729920/472

LCM = 120480360

Thus, we can understand that the LCM of 236,714,767,440 is 120480360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 236, 714, 767, 440

1. What is the LCM of 236, 714, 767, 440?

Answer: LCM of 236, 714, 767, 440 is 120480360.

2. How to calculate the LCM of 236, 714, 767, 440?

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 236, 714, 767, 440.

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}.