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LCM of 745, 159, 947, 525, 535

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


Find the LCM of 745, 159, 947, 525, 535 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 745, 159, 947, 525, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,159,947,525,535

Given numbers are 745,159,947,525,535

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

The LCM of 745,159,947,525,535 is 420102434325.

Find LCM of 745,159,947,525,535 with Prime Factorization


3 745, 159, 947, 525, 535
5 745, 53, 947, 175, 535
149, 53, 947, 35, 107

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

3 x 5 x 149 x 53 x 947 x 35 x 107 = 420102434325

Therefore, the lowest common multiple of 745,159,947,525,535 is 420102434325.

LCM Formula to Find Lowest Common Multiple of 745,159,947,525,535

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.

745 x 159 x 947 x 525 x 535 = 31507682574375

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.

745 : 1, 5, 149, 745

159 : 1, 3, 53, 159

947 : 1, 947

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,159,947,525,535, is 1.

Now, the common factors can be found like this.

745:5x 149

159:3x 53

947:947

525:3x 5x 5x 7

535:5x 107

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

3x 5x 5 = 75

Therefore, the value for common factors is 75.

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 = 31507682574375/(1x75)

LCM = 31507682574375/75

LCM = 420102434325

Thus, we can understand that the LCM of 745,159,947,525,535 is 420102434325.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 159, 947, 525, 535

1. What is the LCM of 745, 159, 947, 525, 535?

Answer: LCM of 745, 159, 947, 525, 535 is 420102434325.

2. How to calculate the LCM of 745, 159, 947, 525, 535?

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 745, 159, 947, 525, 535.

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}.