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LCM of 400, 929, 788, 985

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


Find the LCM of 400, 929, 788, 985 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 400, 929, 788, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 400,929,788,985

Given numbers are 400,929,788,985

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

The LCM of 400,929,788,985 is 73205200.

Find LCM of 400,929,788,985 with Prime Factorization


2 400, 929, 788, 985
2 200, 929, 394, 985
5 100, 929, 197, 985
197 20, 929, 197, 197
20, 929, 1, 1

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

2 x 2 x 5 x 197 x 20 x 929 x 1 x 1 = 73205200

Therefore, the lowest common multiple of 400,929,788,985 is 73205200.

LCM Formula to Find Lowest Common Multiple of 400,929,788,985

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.

400 x 929 x 788 x 985 = 288428488000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

929 : 1, 929

788 : 1, 2, 4, 197, 394, 788

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,929,788,985, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

929:929

788:2x 2x 197

985:5x 197

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 5x 197 = 3940

Therefore, the value for common factors is 3940.

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 = 288428488000/(1x3940)

LCM = 288428488000/3940

LCM = 73205200

Thus, we can understand that the LCM of 400,929,788,985 is 73205200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 400, 929, 788, 985

1. What is the LCM of 400, 929, 788, 985?

Answer: LCM of 400, 929, 788, 985 is 73205200.

2. How to calculate the LCM of 400, 929, 788, 985?

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 400, 929, 788, 985.

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}.