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LCM of 135, 136, 778, 600, 964

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


Find the LCM of 135, 136, 778, 600, 964 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 135, 136, 778, 600, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 135,136,778,600,964

Given numbers are 135,136,778,600,964

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

The LCM of 135,136,778,600,964 is 8606158200.

Find LCM of 135,136,778,600,964 with Prime Factorization


2 135, 136, 778, 600, 964
2 135, 68, 389, 300, 482
2 135, 34, 389, 150, 241
3 135, 17, 389, 75, 241
5 45, 17, 389, 25, 241
9, 17, 389, 5, 241

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

2 x 2 x 2 x 3 x 5 x 9 x 17 x 389 x 5 x 241 = 8606158200

Therefore, the lowest common multiple of 135,136,778,600,964 is 8606158200.

LCM Formula to Find Lowest Common Multiple of 135,136,778,600,964

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.

135 x 136 x 778 x 600 x 964 = 8261911872000

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

136 : 1, 2, 4, 8, 17, 34, 68, 136

778 : 1, 2, 389, 778

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,136,778,600,964, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

136:2x 2x 2x 17

778:2x 389

600:2x 2x 2x 3x 5x 5

964:2x 2x 241

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 2x 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 8261911872000/(1x960)

LCM = 8261911872000/960

LCM = 8606158200

Thus, we can understand that the LCM of 135,136,778,600,964 is 8606158200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 135, 136, 778, 600, 964

1. What is the LCM of 135, 136, 778, 600, 964?

Answer: LCM of 135, 136, 778, 600, 964 is 8606158200.

2. How to calculate the LCM of 135, 136, 778, 600, 964?

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 135, 136, 778, 600, 964.

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}.