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LCM of 963, 856, 844, 742, 978

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


Find the LCM of 963, 856, 844, 742, 978 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 963, 856, 844, 742, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 963,856,844,742,978

Given numbers are 963,856,844,742,978

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

The LCM of 963,856,844,742,978 is 98301522312.

Find LCM of 963,856,844,742,978 with Prime Factorization


2 963, 856, 844, 742, 978
2 963, 428, 422, 371, 489
3 963, 214, 211, 371, 489
107 321, 214, 211, 371, 163
3, 2, 211, 371, 163

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

2 x 2 x 3 x 107 x 3 x 2 x 211 x 371 x 163 = 98301522312

Therefore, the lowest common multiple of 963,856,844,742,978 is 98301522312.

LCM Formula to Find Lowest Common Multiple of 963,856,844,742,978

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.

963 x 856 x 844 x 742 x 978 = 504876618594432

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.

963 : 1, 3, 9, 107, 321, 963

856 : 1, 2, 4, 8, 107, 214, 428, 856

844 : 1, 2, 4, 211, 422, 844

742 : 1, 2, 7, 14, 53, 106, 371, 742

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,856,844,742,978, is 1.

Now, the common factors can be found like this.

963:3x 3x 107

856:2x 2x 2x 107

844:2x 2x 211

742:2x 7x 53

978:2x 3x 163

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 2x 2x 3x 107 = 5136

Therefore, the value for common factors is 5136.

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 = 504876618594432/(1x5136)

LCM = 504876618594432/5136

LCM = 98301522312

Thus, we can understand that the LCM of 963,856,844,742,978 is 98301522312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 963, 856, 844, 742, 978

1. What is the LCM of 963, 856, 844, 742, 978?

Answer: LCM of 963, 856, 844, 742, 978 is 98301522312.

2. How to calculate the LCM of 963, 856, 844, 742, 978?

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 963, 856, 844, 742, 978.

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}.