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LCM of 606, 942, 900, 420, 944

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


Find the LCM of 606, 942, 900, 420, 944 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 606, 942, 900, 420, 944. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,942,900,420,944

Given numbers are 606,942,900,420,944

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

The LCM of 606,942,900,420,944 is 23576187600.

Find LCM of 606,942,900,420,944 with Prime Factorization


2 606, 942, 900, 420, 944
2 303, 471, 450, 210, 472
3 303, 471, 225, 105, 236
5 101, 157, 75, 35, 236
101, 157, 15, 7, 236

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

2 x 2 x 3 x 5 x 101 x 157 x 15 x 7 x 236 = 23576187600

Therefore, the lowest common multiple of 606,942,900,420,944 is 23576187600.

LCM Formula to Find Lowest Common Multiple of 606,942,900,420,944

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.

606 x 942 x 900 x 420 x 944 = 203698260864000

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

942 : 1, 2, 3, 6, 157, 314, 471, 942

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,942,900,420,944, is 2.

Now, the common factors can be found like this.

606:2x 3x 101

942:2x 3x 157

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

420:2x 2x 3x 5x 7

944:2x 2x 2x 2x 59

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 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 203698260864000/(2x4320)

LCM = 203698260864000/8640

LCM = 23576187600

Thus, we can understand that the LCM of 606,942,900,420,944 is 23576187600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 942, 900, 420, 944

1. What is the LCM of 606, 942, 900, 420, 944?

Answer: LCM of 606, 942, 900, 420, 944 is 23576187600.

2. How to calculate the LCM of 606, 942, 900, 420, 944?

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 606, 942, 900, 420, 944.

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}.