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LCM of 678, 561, 748, 533

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


Find the LCM of 678, 561, 748, 533 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 678, 561, 748, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,561,748,533

Given numbers are 678,561,748,533

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

The LCM of 678,561,748,533 is 135153876.

Find LCM of 678,561,748,533 with Prime Factorization


2 678, 561, 748, 533
3 339, 561, 374, 533
11 113, 187, 374, 533
17 113, 17, 34, 533
113, 1, 2, 533

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

2 x 3 x 11 x 17 x 113 x 1 x 2 x 533 = 135153876

Therefore, the lowest common multiple of 678,561,748,533 is 135153876.

LCM Formula to Find Lowest Common Multiple of 678,561,748,533

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.

678 x 561 x 748 x 533 = 151642648872

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

561 : 1, 3, 11, 17, 33, 51, 187, 561

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,561,748,533, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

561:3x 11x 17

748:2x 2x 11x 17

533:13x 41

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 11x 17 = 1122

Therefore, the value for common factors is 1122.

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 = 151642648872/(1x1122)

LCM = 151642648872/1122

LCM = 135153876

Thus, we can understand that the LCM of 678,561,748,533 is 135153876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 561, 748, 533

1. What is the LCM of 678, 561, 748, 533?

Answer: LCM of 678, 561, 748, 533 is 135153876.

2. How to calculate the LCM of 678, 561, 748, 533?

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 678, 561, 748, 533.

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}.