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LCM of 725, 841, 438, 139, 402

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


Find the LCM of 725, 841, 438, 139, 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 725, 841, 438, 139, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,841,438,139,402

Given numbers are 725,841,438,139,402

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

The LCM of 725,841,438,139,402 is 85762951350.

Find LCM of 725,841,438,139,402 with Prime Factorization


2 725, 841, 438, 139, 402
3 725, 841, 219, 139, 201
29 725, 841, 73, 139, 67
25, 29, 73, 139, 67

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

2 x 3 x 29 x 25 x 29 x 73 x 139 x 67 = 85762951350

Therefore, the lowest common multiple of 725,841,438,139,402 is 85762951350.

LCM Formula to Find Lowest Common Multiple of 725,841,438,139,402

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.

725 x 841 x 438 x 139 x 402 = 14922753534900

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.

725 : 1, 5, 25, 29, 145, 725

841 : 1, 29, 841

438 : 1, 2, 3, 6, 73, 146, 219, 438

139 : 1, 139

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 725,841,438,139,402, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

841:29x 29

438:2x 3x 73

139:139

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 3x 29 = 174

Therefore, the value for common factors is 174.

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 = 14922753534900/(1x174)

LCM = 14922753534900/174

LCM = 85762951350

Thus, we can understand that the LCM of 725,841,438,139,402 is 85762951350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 841, 438, 139, 402

1. What is the LCM of 725, 841, 438, 139, 402?

Answer: LCM of 725, 841, 438, 139, 402 is 85762951350.

2. How to calculate the LCM of 725, 841, 438, 139, 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 725, 841, 438, 139, 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}.