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LCM of 253, 624, 144, 189, 186

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


Find the LCM of 253, 624, 144, 189, 186 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 253, 624, 144, 189, 186. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,624,144,189,186

Given numbers are 253,624,144,189,186

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

The LCM of 253,624,144,189,186 is 308324016.

Find LCM of 253,624,144,189,186 with Prime Factorization


2 253, 624, 144, 189, 186
2 253, 312, 72, 189, 93
2 253, 156, 36, 189, 93
2 253, 78, 18, 189, 93
3 253, 39, 9, 189, 93
3 253, 13, 3, 63, 31
253, 13, 1, 21, 31

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

2 x 2 x 2 x 2 x 3 x 3 x 253 x 13 x 1 x 21 x 31 = 308324016

Therefore, the lowest common multiple of 253,624,144,189,186 is 308324016.

LCM Formula to Find Lowest Common Multiple of 253,624,144,189,186

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.

253 x 624 x 144 x 189 x 186 = 799175849472

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.

253 : 1, 11, 23, 253

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

186 : 1, 2, 3, 6, 31, 62, 93, 186

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,624,144,189,186, is 1.

Now, the common factors can be found like this.

253:11x 23

624:2x 2x 2x 2x 3x 13

144:2x 2x 2x 2x 3x 3

189:3x 3x 3x 7

186:2x 3x 31

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 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 799175849472/(1x2592)

LCM = 799175849472/2592

LCM = 308324016

Thus, we can understand that the LCM of 253,624,144,189,186 is 308324016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 624, 144, 189, 186

1. What is the LCM of 253, 624, 144, 189, 186?

Answer: LCM of 253, 624, 144, 189, 186 is 308324016.

2. How to calculate the LCM of 253, 624, 144, 189, 186?

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 253, 624, 144, 189, 186.

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}.