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LCM of 835, 989, 984, 482, 107

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


Find the LCM of 835, 989, 984, 482, 107 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 835, 989, 984, 482, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,989,984,482,107

Given numbers are 835,989,984,482,107

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

The LCM of 835,989,984,482,107 is 20954566742520.

Find LCM of 835,989,984,482,107 with Prime Factorization


2 835, 989, 984, 482, 107
835, 989, 492, 241, 107

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

2 x 835 x 989 x 492 x 241 x 107 = 20954566742520

Therefore, the lowest common multiple of 835,989,984,482,107 is 20954566742520.

LCM Formula to Find Lowest Common Multiple of 835,989,984,482,107

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.

835 x 989 x 984 x 482 x 107 = 41909133485040

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.

835 : 1, 5, 167, 835

989 : 1, 23, 43, 989

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

482 : 1, 2, 241, 482

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,989,984,482,107, is 1.

Now, the common factors can be found like this.

835:5x 167

989:23x 43

984:2x 2x 2x 3x 41

482:2x 241

107:107

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 = 41909133485040/(1x2)

LCM = 41909133485040/2

LCM = 20954566742520

Thus, we can understand that the LCM of 835,989,984,482,107 is 20954566742520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 989, 984, 482, 107

1. What is the LCM of 835, 989, 984, 482, 107?

Answer: LCM of 835, 989, 984, 482, 107 is 20954566742520.

2. How to calculate the LCM of 835, 989, 984, 482, 107?

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 835, 989, 984, 482, 107.

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}.