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LCM of 624, 535, 146, 761, 461

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


Find the LCM of 624, 535, 146, 761, 461 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 624, 535, 146, 761, 461. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,535,146,761,461

Given numbers are 624,535,146,761,461

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

The LCM of 624,535,146,761,461 is 8549620032720.

Find LCM of 624,535,146,761,461 with Prime Factorization


2 624, 535, 146, 761, 461
312, 535, 73, 761, 461

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

2 x 312 x 535 x 73 x 761 x 461 = 8549620032720

Therefore, the lowest common multiple of 624,535,146,761,461 is 8549620032720.

LCM Formula to Find Lowest Common Multiple of 624,535,146,761,461

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.

624 x 535 x 146 x 761 x 461 = 17099240065440

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

535 : 1, 5, 107, 535

146 : 1, 2, 73, 146

761 : 1, 761

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,535,146,761,461, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

535:5x 107

146:2x 73

761:761

461:461

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17099240065440/(1x2)

LCM = 17099240065440/2

LCM = 8549620032720

Thus, we can understand that the LCM of 624,535,146,761,461 is 8549620032720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 535, 146, 761, 461

1. What is the LCM of 624, 535, 146, 761, 461?

Answer: LCM of 624, 535, 146, 761, 461 is 8549620032720.

2. How to calculate the LCM of 624, 535, 146, 761, 461?

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 624, 535, 146, 761, 461.

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}.