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LCM of 526, 169, 728, 603

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


Find the LCM of 526, 169, 728, 603 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 526, 169, 728, 603. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,169,728,603

Given numbers are 526,169,728,603

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

The LCM of 526,169,728,603 is 1500886296.

Find LCM of 526,169,728,603 with Prime Factorization


2 526, 169, 728, 603
13 263, 169, 364, 603
263, 13, 28, 603

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

2 x 13 x 263 x 13 x 28 x 603 = 1500886296

Therefore, the lowest common multiple of 526,169,728,603 is 1500886296.

LCM Formula to Find Lowest Common Multiple of 526,169,728,603

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.

526 x 169 x 728 x 603 = 39023043696

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.

526 : 1, 2, 263, 526

169 : 1, 13, 169

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

603 : 1, 3, 9, 67, 201, 603

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,169,728,603, is 1.

Now, the common factors can be found like this.

526:2x 263

169:13x 13

728:2x 2x 2x 7x 13

603:3x 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 13 = 26

Therefore, the value for common factors is 26.

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 = 39023043696/(1x26)

LCM = 39023043696/26

LCM = 1500886296

Thus, we can understand that the LCM of 526,169,728,603 is 1500886296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 526, 169, 728, 603

1. What is the LCM of 526, 169, 728, 603?

Answer: LCM of 526, 169, 728, 603 is 1500886296.

2. How to calculate the LCM of 526, 169, 728, 603?

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 526, 169, 728, 603.

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}.