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LCM of 439, 535, 705, 967, 746

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


Find the LCM of 439, 535, 705, 967, 746 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 439, 535, 705, 967, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 439,535,705,967,746

Given numbers are 439,535,705,967,746

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

The LCM of 439,535,705,967,746 is 23889261063630.

Find LCM of 439,535,705,967,746 with Prime Factorization


5 439, 535, 705, 967, 746
439, 107, 141, 967, 746

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

5 x 439 x 107 x 141 x 967 x 746 = 23889261063630

Therefore, the lowest common multiple of 439,535,705,967,746 is 23889261063630.

LCM Formula to Find Lowest Common Multiple of 439,535,705,967,746

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.

439 x 535 x 705 x 967 x 746 = 119446305318150

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.

439 : 1, 439

535 : 1, 5, 107, 535

705 : 1, 3, 5, 15, 47, 141, 235, 705

967 : 1, 967

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,535,705,967,746, is 1.

Now, the common factors can be found like this.

439:439

535:5x 107

705:3x 5x 47

967:967

746:2x 373

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

5 = 5

Therefore, the value for common factors is 5.

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 = 119446305318150/(1x5)

LCM = 119446305318150/5

LCM = 23889261063630

Thus, we can understand that the LCM of 439,535,705,967,746 is 23889261063630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 439, 535, 705, 967, 746

1. What is the LCM of 439, 535, 705, 967, 746?

Answer: LCM of 439, 535, 705, 967, 746 is 23889261063630.

2. How to calculate the LCM of 439, 535, 705, 967, 746?

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 439, 535, 705, 967, 746.

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}.