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LCM of 110, 668, 902, 628

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


Find the LCM of 110, 668, 902, 628 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 110, 668, 902, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 110,668,902,628

Given numbers are 110,668,902,628

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

The LCM of 110,668,902,628 is 236495380.

Find LCM of 110,668,902,628 with Prime Factorization


2 110, 668, 902, 628
2 55, 334, 451, 314
11 55, 167, 451, 157
5, 167, 41, 157

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

2 x 2 x 11 x 5 x 167 x 41 x 157 = 236495380

Therefore, the lowest common multiple of 110,668,902,628 is 236495380.

LCM Formula to Find Lowest Common Multiple of 110,668,902,628

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.

110 x 668 x 902 x 628 = 41623186880

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

668 : 1, 2, 4, 167, 334, 668

902 : 1, 2, 11, 22, 41, 82, 451, 902

628 : 1, 2, 4, 157, 314, 628

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,668,902,628, is 2.

Now, the common factors can be found like this.

110:2x 5x 11

668:2x 2x 167

902:2x 11x 41

628:2x 2x 157

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 11 = 88

Therefore, the value for common factors is 88.

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 = 41623186880/(2x88)

LCM = 41623186880/176

LCM = 236495380

Thus, we can understand that the LCM of 110,668,902,628 is 236495380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 110, 668, 902, 628

1. What is the LCM of 110, 668, 902, 628?

Answer: LCM of 110, 668, 902, 628 is 236495380.

2. How to calculate the LCM of 110, 668, 902, 628?

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 110, 668, 902, 628.

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}.