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LCM of 145, 111, 711, 609, 690

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


Find the LCM of 145, 111, 711, 609, 690 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 145, 111, 711, 609, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 145,111,711,609,690

Given numbers are 145,111,711,609,690

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

The LCM of 145,111,711,609,690 is 1228273830.

Find LCM of 145,111,711,609,690 with Prime Factorization


3 145, 111, 711, 609, 690
5 145, 37, 237, 203, 230
29 29, 37, 237, 203, 46
1, 37, 237, 7, 46

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

3 x 5 x 29 x 1 x 37 x 237 x 7 x 46 = 1228273830

Therefore, the lowest common multiple of 145,111,711,609,690 is 1228273830.

LCM Formula to Find Lowest Common Multiple of 145,111,711,609,690

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.

145 x 111 x 711 x 609 x 690 = 4808692044450

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.

145 : 1, 5, 29, 145

111 : 1, 3, 37, 111

711 : 1, 3, 9, 79, 237, 711

609 : 1, 3, 7, 21, 29, 87, 203, 609

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,111,711,609,690, is 1.

Now, the common factors can be found like this.

145:5x 29

111:3x 37

711:3x 3x 79

609:3x 7x 29

690:2x 3x 5x 23

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

3x 3x 3x 5x 29 = 3915

Therefore, the value for common factors is 3915.

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 = 4808692044450/(1x3915)

LCM = 4808692044450/3915

LCM = 1228273830

Thus, we can understand that the LCM of 145,111,711,609,690 is 1228273830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 145, 111, 711, 609, 690

1. What is the LCM of 145, 111, 711, 609, 690?

Answer: LCM of 145, 111, 711, 609, 690 is 1228273830.

2. How to calculate the LCM of 145, 111, 711, 609, 690?

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 145, 111, 711, 609, 690.

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}.