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LCM of 910, 685, 900, 743

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


Find the LCM of 910, 685, 900, 743 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 910, 685, 900, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,685,900,743

Given numbers are 910,685,900,743

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

The LCM of 910,685,900,743 is 8336682900.

Find LCM of 910,685,900,743 with Prime Factorization


2 910, 685, 900, 743
5 455, 685, 450, 743
91, 137, 90, 743

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

2 x 5 x 91 x 137 x 90 x 743 = 8336682900

Therefore, the lowest common multiple of 910,685,900,743 is 8336682900.

LCM Formula to Find Lowest Common Multiple of 910,685,900,743

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.

910 x 685 x 900 x 743 = 416834145000

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

685 : 1, 5, 137, 685

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,685,900,743, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

685:5x 137

900:2x 2x 3x 3x 5x 5

743:743

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 416834145000/(1x50)

LCM = 416834145000/50

LCM = 8336682900

Thus, we can understand that the LCM of 910,685,900,743 is 8336682900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 685, 900, 743

1. What is the LCM of 910, 685, 900, 743?

Answer: LCM of 910, 685, 900, 743 is 8336682900.

2. How to calculate the LCM of 910, 685, 900, 743?

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 910, 685, 900, 743.

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}.