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LCM of 151, 836, 190, 153

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


Find the LCM of 151, 836, 190, 153 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 151, 836, 190, 153. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 151,836,190,153

Given numbers are 151,836,190,153

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

The LCM of 151,836,190,153 is 96570540.

Find LCM of 151,836,190,153 with Prime Factorization


2 151, 836, 190, 153
19 151, 418, 95, 153
151, 22, 5, 153

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

2 x 19 x 151 x 22 x 5 x 153 = 96570540

Therefore, the lowest common multiple of 151,836,190,153 is 96570540.

LCM Formula to Find Lowest Common Multiple of 151,836,190,153

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.

151 x 836 x 190 x 153 = 3669680520

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.

151 : 1, 151

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

190 : 1, 2, 5, 10, 19, 38, 95, 190

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,836,190,153, is 1.

Now, the common factors can be found like this.

151:151

836:2x 2x 11x 19

190:2x 5x 19

153:3x 3x 17

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 3669680520/(1x38)

LCM = 3669680520/38

LCM = 96570540

Thus, we can understand that the LCM of 151,836,190,153 is 96570540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 151, 836, 190, 153

1. What is the LCM of 151, 836, 190, 153?

Answer: LCM of 151, 836, 190, 153 is 96570540.

2. How to calculate the LCM of 151, 836, 190, 153?

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 151, 836, 190, 153.

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}.