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LCM of 119, 485, 291, 544

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


Find the LCM of 119, 485, 291, 544 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 119, 485, 291, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,485,291,544

Given numbers are 119,485,291,544

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

The LCM of 119,485,291,544 is 5540640.

Find LCM of 119,485,291,544 with Prime Factorization


17 119, 485, 291, 544
97 7, 485, 291, 32
7, 5, 3, 32

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

17 x 97 x 7 x 5 x 3 x 32 = 5540640

Therefore, the lowest common multiple of 119,485,291,544 is 5540640.

LCM Formula to Find Lowest Common Multiple of 119,485,291,544

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.

119 x 485 x 291 x 544 = 9136515360

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.

119 : 1, 7, 17, 119

485 : 1, 5, 97, 485

291 : 1, 3, 97, 291

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,485,291,544, is 1.

Now, the common factors can be found like this.

119:7x 17

485:5x 97

291:3x 97

544:2x 2x 2x 2x 2x 17

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

17x 97 = 1649

Therefore, the value for common factors is 1649.

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 = 9136515360/(1x1649)

LCM = 9136515360/1649

LCM = 5540640

Thus, we can understand that the LCM of 119,485,291,544 is 5540640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 119, 485, 291, 544

1. What is the LCM of 119, 485, 291, 544?

Answer: LCM of 119, 485, 291, 544 is 5540640.

2. How to calculate the LCM of 119, 485, 291, 544?

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 119, 485, 291, 544.

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}.