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LCM of 721, 316, 811, 618

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


Find the LCM of 721, 316, 811, 618 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 721, 316, 811, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,316,811,618

Given numbers are 721,316,811,618

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

The LCM of 721,316,811,618 is 554324988.

Find LCM of 721,316,811,618 with Prime Factorization


2 721, 316, 811, 618
103 721, 158, 811, 309
7, 158, 811, 3

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

2 x 103 x 7 x 158 x 811 x 3 = 554324988

Therefore, the lowest common multiple of 721,316,811,618 is 554324988.

LCM Formula to Find Lowest Common Multiple of 721,316,811,618

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.

721 x 316 x 811 x 618 = 114190947528

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.

721 : 1, 7, 103, 721

316 : 1, 2, 4, 79, 158, 316

811 : 1, 811

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,316,811,618, is 1.

Now, the common factors can be found like this.

721:7x 103

316:2x 2x 79

811:811

618:2x 3x 103

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

2x 103 = 206

Therefore, the value for common factors is 206.

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 = 114190947528/(1x206)

LCM = 114190947528/206

LCM = 554324988

Thus, we can understand that the LCM of 721,316,811,618 is 554324988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 316, 811, 618

1. What is the LCM of 721, 316, 811, 618?

Answer: LCM of 721, 316, 811, 618 is 554324988.

2. How to calculate the LCM of 721, 316, 811, 618?

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 721, 316, 811, 618.

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}.