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LCM of 410, 535, 946, 649

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


Find the LCM of 410, 535, 946, 649 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 410, 535, 946, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 410,535,946,649

Given numbers are 410,535,946,649

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

The LCM of 410,535,946,649 is 1224280090.

Find LCM of 410,535,946,649 with Prime Factorization


2 410, 535, 946, 649
5 205, 535, 473, 649
11 41, 107, 473, 649
41, 107, 43, 59

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

2 x 5 x 11 x 41 x 107 x 43 x 59 = 1224280090

Therefore, the lowest common multiple of 410,535,946,649 is 1224280090.

LCM Formula to Find Lowest Common Multiple of 410,535,946,649

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.

410 x 535 x 946 x 649 = 134670809900

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

535 : 1, 5, 107, 535

946 : 1, 2, 11, 22, 43, 86, 473, 946

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,535,946,649, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

535:5x 107

946:2x 11x 43

649:11x 59

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 134670809900/(1x110)

LCM = 134670809900/110

LCM = 1224280090

Thus, we can understand that the LCM of 410,535,946,649 is 1224280090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 410, 535, 946, 649

1. What is the LCM of 410, 535, 946, 649?

Answer: LCM of 410, 535, 946, 649 is 1224280090.

2. How to calculate the LCM of 410, 535, 946, 649?

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 410, 535, 946, 649.

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}.