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LCM of 528, 703, 961, 558, 754

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


Find the LCM of 528, 703, 961, 558, 754 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 528, 703, 961, 558, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,703,961,558,754

Given numbers are 528,703,961,558,754

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

The LCM of 528,703,961,558,754 is 403436548944.

Find LCM of 528,703,961,558,754 with Prime Factorization


2 528, 703, 961, 558, 754
3 264, 703, 961, 279, 377
31 88, 703, 961, 93, 377
88, 703, 31, 3, 377

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

2 x 3 x 31 x 88 x 703 x 31 x 3 x 377 = 403436548944

Therefore, the lowest common multiple of 528,703,961,558,754 is 403436548944.

LCM Formula to Find Lowest Common Multiple of 528,703,961,558,754

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.

528 x 703 x 961 x 558 x 754 = 150078396207168

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

703 : 1, 19, 37, 703

961 : 1, 31, 961

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,703,961,558,754, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

703:19x 37

961:31x 31

558:2x 3x 3x 31

754:2x 13x 29

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

2x 2x 3x 31 = 372

Therefore, the value for common factors is 372.

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 = 150078396207168/(1x372)

LCM = 150078396207168/372

LCM = 403436548944

Thus, we can understand that the LCM of 528,703,961,558,754 is 403436548944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 703, 961, 558, 754

1. What is the LCM of 528, 703, 961, 558, 754?

Answer: LCM of 528, 703, 961, 558, 754 is 403436548944.

2. How to calculate the LCM of 528, 703, 961, 558, 754?

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 528, 703, 961, 558, 754.

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}.