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LCM of 552, 248, 507, 773

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


Find the LCM of 552, 248, 507, 773 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 552, 248, 507, 773. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,248,507,773

Given numbers are 552,248,507,773

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

The LCM of 552,248,507,773 is 2235460344.

Find LCM of 552,248,507,773 with Prime Factorization


2 552, 248, 507, 773
2 276, 124, 507, 773
2 138, 62, 507, 773
3 69, 31, 507, 773
23, 31, 169, 773

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

2 x 2 x 2 x 3 x 23 x 31 x 169 x 773 = 2235460344

Therefore, the lowest common multiple of 552,248,507,773 is 2235460344.

LCM Formula to Find Lowest Common Multiple of 552,248,507,773

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.

552 x 248 x 507 x 773 = 53651048256

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

248 : 1, 2, 4, 8, 31, 62, 124, 248

507 : 1, 3, 13, 39, 169, 507

773 : 1, 773

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,248,507,773, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

248:2x 2x 2x 31

507:3x 13x 13

773:773

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 53651048256/(1x24)

LCM = 53651048256/24

LCM = 2235460344

Thus, we can understand that the LCM of 552,248,507,773 is 2235460344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 248, 507, 773

1. What is the LCM of 552, 248, 507, 773?

Answer: LCM of 552, 248, 507, 773 is 2235460344.

2. How to calculate the LCM of 552, 248, 507, 773?

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 552, 248, 507, 773.

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}.