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LCM of 220, 654, 102, 556, 973

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


Find the LCM of 220, 654, 102, 556, 973 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 220, 654, 102, 556, 973. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,654,102,556,973

Given numbers are 220,654,102,556,973

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

The LCM of 220,654,102,556,973 is 1189959540.

Find LCM of 220,654,102,556,973 with Prime Factorization


2 220, 654, 102, 556, 973
2 110, 327, 51, 278, 973
3 55, 327, 51, 139, 973
139 55, 109, 17, 139, 973
55, 109, 17, 1, 7

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

2 x 2 x 3 x 139 x 55 x 109 x 17 x 1 x 7 = 1189959540

Therefore, the lowest common multiple of 220,654,102,556,973 is 1189959540.

LCM Formula to Find Lowest Common Multiple of 220,654,102,556,973

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.

220 x 654 x 102 x 556 x 973 = 7939410050880

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.

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

654 : 1, 2, 3, 6, 109, 218, 327, 654

102 : 1, 2, 3, 6, 17, 34, 51, 102

556 : 1, 2, 4, 139, 278, 556

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,654,102,556,973, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

654:2x 3x 109

102:2x 3x 17

556:2x 2x 139

973:7x 139

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 3x 139 = 6672

Therefore, the value for common factors is 6672.

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 = 7939410050880/(1x6672)

LCM = 7939410050880/6672

LCM = 1189959540

Thus, we can understand that the LCM of 220,654,102,556,973 is 1189959540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 654, 102, 556, 973

1. What is the LCM of 220, 654, 102, 556, 973?

Answer: LCM of 220, 654, 102, 556, 973 is 1189959540.

2. How to calculate the LCM of 220, 654, 102, 556, 973?

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 220, 654, 102, 556, 973.

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}.