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LCM of 153, 536, 409, 476

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


Find the LCM of 153, 536, 409, 476 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 153, 536, 409, 476. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 153,536,409,476

Given numbers are 153,536,409,476

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

The LCM of 153,536,409,476 is 234788904.

Find LCM of 153,536,409,476 with Prime Factorization


2 153, 536, 409, 476
2 153, 268, 409, 238
17 153, 134, 409, 119
9, 134, 409, 7

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

2 x 2 x 17 x 9 x 134 x 409 x 7 = 234788904

Therefore, the lowest common multiple of 153,536,409,476 is 234788904.

LCM Formula to Find Lowest Common Multiple of 153,536,409,476

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.

153 x 536 x 409 x 476 = 15965645472

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.

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

409 : 1, 409

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,536,409,476, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

536:2x 2x 2x 67

409:409

476:2x 2x 7x 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 2x 17 = 68

Therefore, the value for common factors is 68.

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 = 15965645472/(1x68)

LCM = 15965645472/68

LCM = 234788904

Thus, we can understand that the LCM of 153,536,409,476 is 234788904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 153, 536, 409, 476

1. What is the LCM of 153, 536, 409, 476?

Answer: LCM of 153, 536, 409, 476 is 234788904.

2. How to calculate the LCM of 153, 536, 409, 476?

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 153, 536, 409, 476.

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}.