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LCM of 724, 871, 151, 402

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


Find the LCM of 724, 871, 151, 402 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 724, 871, 151, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,871,151,402

Given numbers are 724,871,151,402

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

The LCM of 724,871,151,402 is 285663612.

Find LCM of 724,871,151,402 with Prime Factorization


2 724, 871, 151, 402
67 362, 871, 151, 201
362, 13, 151, 3

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

2 x 67 x 362 x 13 x 151 x 3 = 285663612

Therefore, the lowest common multiple of 724,871,151,402 is 285663612.

LCM Formula to Find Lowest Common Multiple of 724,871,151,402

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.

724 x 871 x 151 x 402 = 38278924008

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.

724 : 1, 2, 4, 181, 362, 724

871 : 1, 13, 67, 871

151 : 1, 151

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,871,151,402, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

871:13x 67

151:151

402:2x 3x 67

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 38278924008/(1x134)

LCM = 38278924008/134

LCM = 285663612

Thus, we can understand that the LCM of 724,871,151,402 is 285663612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 871, 151, 402

1. What is the LCM of 724, 871, 151, 402?

Answer: LCM of 724, 871, 151, 402 is 285663612.

2. How to calculate the LCM of 724, 871, 151, 402?

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 724, 871, 151, 402.

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}.