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LCM of 673, 533, 357, 984

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


Find the LCM of 673, 533, 357, 984 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 673, 533, 357, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 673,533,357,984

Given numbers are 673,533,357,984

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

The LCM of 673,533,357,984 is 1024472904.

Find LCM of 673,533,357,984 with Prime Factorization


3 673, 533, 357, 984
41 673, 533, 119, 328
673, 13, 119, 8

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

3 x 41 x 673 x 13 x 119 x 8 = 1024472904

Therefore, the lowest common multiple of 673,533,357,984 is 1024472904.

LCM Formula to Find Lowest Common Multiple of 673,533,357,984

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.

673 x 533 x 357 x 984 = 126010167192

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.

673 : 1, 673

533 : 1, 13, 41, 533

357 : 1, 3, 7, 17, 21, 51, 119, 357

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,533,357,984, is 1.

Now, the common factors can be found like this.

673:673

533:13x 41

357:3x 7x 17

984:2x 2x 2x 3x 41

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

3x 41 = 123

Therefore, the value for common factors is 123.

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 = 126010167192/(1x123)

LCM = 126010167192/123

LCM = 1024472904

Thus, we can understand that the LCM of 673,533,357,984 is 1024472904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 673, 533, 357, 984

1. What is the LCM of 673, 533, 357, 984?

Answer: LCM of 673, 533, 357, 984 is 1024472904.

2. How to calculate the LCM of 673, 533, 357, 984?

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 673, 533, 357, 984.

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}.