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LCM of 672, 824, 484, 121, 719

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


Find the LCM of 672, 824, 484, 121, 719 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 672, 824, 484, 121, 719. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,824,484,121,719

Given numbers are 672,824,484,121,719

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

The LCM of 672,824,484,121,719 is 6021722784.

Find LCM of 672,824,484,121,719 with Prime Factorization


2 672, 824, 484, 121, 719
2 336, 412, 242, 121, 719
2 168, 206, 121, 121, 719
11 84, 103, 121, 121, 719
11 84, 103, 11, 11, 719
84, 103, 1, 1, 719

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

2 x 2 x 2 x 11 x 11 x 84 x 103 x 1 x 1 x 719 = 6021722784

Therefore, the lowest common multiple of 672,824,484,121,719 is 6021722784.

LCM Formula to Find Lowest Common Multiple of 672,824,484,121,719

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.

672 x 824 x 484 x 121 x 719 = 23316110619648

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

824 : 1, 2, 4, 8, 103, 206, 412, 824

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

121 : 1, 11, 121

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,824,484,121,719, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

824:2x 2x 2x 103

484:2x 2x 11x 11

121:11x 11

719:719

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 2x 2x 11x 11 = 3872

Therefore, the value for common factors is 3872.

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 = 23316110619648/(1x3872)

LCM = 23316110619648/3872

LCM = 6021722784

Thus, we can understand that the LCM of 672,824,484,121,719 is 6021722784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 824, 484, 121, 719

1. What is the LCM of 672, 824, 484, 121, 719?

Answer: LCM of 672, 824, 484, 121, 719 is 6021722784.

2. How to calculate the LCM of 672, 824, 484, 121, 719?

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 672, 824, 484, 121, 719.

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}.