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LCM of 142, 513, 398, 254, 946

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


Find the LCM of 142, 513, 398, 254, 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 142, 513, 398, 254, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 142,513,398,254,946

Given numbers are 142,513,398,254,946

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

The LCM of 142,513,398,254,946 is 870810481134.

Find LCM of 142,513,398,254,946 with Prime Factorization


2 142, 513, 398, 254, 946
71, 513, 199, 127, 473

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

2 x 71 x 513 x 199 x 127 x 473 = 870810481134

Therefore, the lowest common multiple of 142,513,398,254,946 is 870810481134.

LCM Formula to Find Lowest Common Multiple of 142,513,398,254,946

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.

142 x 513 x 398 x 254 x 946 = 6966483849072

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.

142 : 1, 2, 71, 142

513 : 1, 3, 9, 19, 27, 57, 171, 513

398 : 1, 2, 199, 398

254 : 1, 2, 127, 254

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 142,513,398,254,946, is 1.

Now, the common factors can be found like this.

142:2x 71

513:3x 3x 3x 19

398:2x 199

254:2x 127

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 = 6966483849072/(1x8)

LCM = 6966483849072/8

LCM = 870810481134

Thus, we can understand that the LCM of 142,513,398,254,946 is 870810481134.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 142, 513, 398, 254, 946

1. What is the LCM of 142, 513, 398, 254, 946?

Answer: LCM of 142, 513, 398, 254, 946 is 870810481134.

2. How to calculate the LCM of 142, 513, 398, 254, 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 142, 513, 398, 254, 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}.