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LCM of 490, 803, 189, 876

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


Find the LCM of 490, 803, 189, 876 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 490, 803, 189, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 490,803,189,876

Given numbers are 490,803,189,876

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

The LCM of 490,803,189,876 is 21247380.

Find LCM of 490,803,189,876 with Prime Factorization


2 490, 803, 189, 876
3 245, 803, 189, 438
7 245, 803, 63, 146
73 35, 803, 9, 146
35, 11, 9, 2

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

2 x 3 x 7 x 73 x 35 x 11 x 9 x 2 = 21247380

Therefore, the lowest common multiple of 490,803,189,876 is 21247380.

LCM Formula to Find Lowest Common Multiple of 490,803,189,876

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.

490 x 803 x 189 x 876 = 65144467080

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.

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

803 : 1, 11, 73, 803

189 : 1, 3, 7, 9, 21, 27, 63, 189

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,803,189,876, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

803:11x 73

189:3x 3x 3x 7

876:2x 2x 3x 73

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

2x 3x 7x 73 = 3066

Therefore, the value for common factors is 3066.

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 = 65144467080/(1x3066)

LCM = 65144467080/3066

LCM = 21247380

Thus, we can understand that the LCM of 490,803,189,876 is 21247380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 490, 803, 189, 876

1. What is the LCM of 490, 803, 189, 876?

Answer: LCM of 490, 803, 189, 876 is 21247380.

2. How to calculate the LCM of 490, 803, 189, 876?

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 490, 803, 189, 876.

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}.