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LCM of 807, 428, 496, 109, 946

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


Find the LCM of 807, 428, 496, 109, 946 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 807, 428, 496, 109, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,428,496,109,946

Given numbers are 807,428,496,109,946

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

The LCM of 807,428,496,109,946 is 2208140114928.

Find LCM of 807,428,496,109,946 with Prime Factorization


2 807, 428, 496, 109, 946
2 807, 214, 248, 109, 473
807, 107, 124, 109, 473

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

2 x 2 x 807 x 107 x 124 x 109 x 473 = 2208140114928

Therefore, the lowest common multiple of 807,428,496,109,946 is 2208140114928.

LCM Formula to Find Lowest Common Multiple of 807,428,496,109,946

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.

807 x 428 x 496 x 109 x 946 = 17665120919424

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.

807 : 1, 3, 269, 807

428 : 1, 2, 4, 107, 214, 428

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

109 : 1, 109

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,428,496,109,946, is 1.

Now, the common factors can be found like this.

807:3x 269

428:2x 2x 107

496:2x 2x 2x 2x 31

109:109

946:2x 11x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17665120919424/(1x8)

LCM = 17665120919424/8

LCM = 2208140114928

Thus, we can understand that the LCM of 807,428,496,109,946 is 2208140114928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 428, 496, 109, 946

1. What is the LCM of 807, 428, 496, 109, 946?

Answer: LCM of 807, 428, 496, 109, 946 is 2208140114928.

2. How to calculate the LCM of 807, 428, 496, 109, 946?

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 807, 428, 496, 109, 946.

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}.