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LCM of 784, 775, 120, 950

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


Find the LCM of 784, 775, 120, 950 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 784, 775, 120, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 784,775,120,950

Given numbers are 784,775,120,950

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

The LCM of 784,775,120,950 is 34633200.

Find LCM of 784,775,120,950 with Prime Factorization


2 784, 775, 120, 950
2 392, 775, 60, 475
2 196, 775, 30, 475
5 98, 775, 15, 475
5 98, 155, 3, 95
98, 31, 3, 19

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

2 x 2 x 2 x 5 x 5 x 98 x 31 x 3 x 19 = 34633200

Therefore, the lowest common multiple of 784,775,120,950 is 34633200.

LCM Formula to Find Lowest Common Multiple of 784,775,120,950

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.

784 x 775 x 120 x 950 = 69266400000

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

775 : 1, 5, 25, 31, 155, 775

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,775,120,950, is 1.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

775:5x 5x 31

120:2x 2x 2x 3x 5

950:2x 5x 5x 19

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 5x 5x 5 = 2000

Therefore, the value for common factors is 2000.

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 = 69266400000/(1x2000)

LCM = 69266400000/2000

LCM = 34633200

Thus, we can understand that the LCM of 784,775,120,950 is 34633200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 784, 775, 120, 950

1. What is the LCM of 784, 775, 120, 950?

Answer: LCM of 784, 775, 120, 950 is 34633200.

2. How to calculate the LCM of 784, 775, 120, 950?

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 784, 775, 120, 950.

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}.