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LCM of 962, 196, 890, 534

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


Find the LCM of 962, 196, 890, 534 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 962, 196, 890, 534. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,196,890,534

Given numbers are 962,196,890,534

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

The LCM of 962,196,890,534 is 125858460.

Find LCM of 962,196,890,534 with Prime Factorization


2 962, 196, 890, 534
89 481, 98, 445, 267
481, 98, 5, 3

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

2 x 89 x 481 x 98 x 5 x 3 = 125858460

Therefore, the lowest common multiple of 962,196,890,534 is 125858460.

LCM Formula to Find Lowest Common Multiple of 962,196,890,534

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.

962 x 196 x 890 x 534 = 89611223520

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.

962 : 1, 2, 13, 26, 37, 74, 481, 962

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

890 : 1, 2, 5, 10, 89, 178, 445, 890

534 : 1, 2, 3, 6, 89, 178, 267, 534

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,196,890,534, is 2.

Now, the common factors can be found like this.

962:2x 13x 37

196:2x 2x 7x 7

890:2x 5x 89

534:2x 3x 89

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 89 = 356

Therefore, the value for common factors is 356.

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 = 89611223520/(2x356)

LCM = 89611223520/712

LCM = 125858460

Thus, we can understand that the LCM of 962,196,890,534 is 125858460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 196, 890, 534

1. What is the LCM of 962, 196, 890, 534?

Answer: LCM of 962, 196, 890, 534 is 125858460.

2. How to calculate the LCM of 962, 196, 890, 534?

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 962, 196, 890, 534.

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}.