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LCM of 177, 606, 900, 490

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


Find the LCM of 177, 606, 900, 490 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 177, 606, 900, 490. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 177,606,900,490

Given numbers are 177,606,900,490

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

The LCM of 177,606,900,490 is 262791900.

Find LCM of 177,606,900,490 with Prime Factorization


2 177, 606, 900, 490
3 177, 303, 450, 245
5 59, 101, 150, 245
59, 101, 30, 49

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

2 x 3 x 5 x 59 x 101 x 30 x 49 = 262791900

Therefore, the lowest common multiple of 177,606,900,490 is 262791900.

LCM Formula to Find Lowest Common Multiple of 177,606,900,490

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.

177 x 606 x 900 x 490 = 47302542000

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.

177 : 1, 3, 59, 177

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

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,606,900,490, is 1.

Now, the common factors can be found like this.

177:3x 59

606:2x 3x 101

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

490:2x 5x 7x 7

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 47302542000/(1x180)

LCM = 47302542000/180

LCM = 262791900

Thus, we can understand that the LCM of 177,606,900,490 is 262791900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 177, 606, 900, 490

1. What is the LCM of 177, 606, 900, 490?

Answer: LCM of 177, 606, 900, 490 is 262791900.

2. How to calculate the LCM of 177, 606, 900, 490?

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 177, 606, 900, 490.

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}.