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LCM of 789, 880, 163, 147, 967

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


Find the LCM of 789, 880, 163, 147, 967 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 789, 880, 163, 147, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,880,163,147,967

Given numbers are 789,880,163,147,967

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

The LCM of 789,880,163,147,967 is 5362531223280.

Find LCM of 789,880,163,147,967 with Prime Factorization


3 789, 880, 163, 147, 967
263, 880, 163, 49, 967

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

3 x 263 x 880 x 163 x 49 x 967 = 5362531223280

Therefore, the lowest common multiple of 789,880,163,147,967 is 5362531223280.

LCM Formula to Find Lowest Common Multiple of 789,880,163,147,967

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.

789 x 880 x 163 x 147 x 967 = 16087593669840

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.

789 : 1, 3, 263, 789

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

163 : 1, 163

147 : 1, 3, 7, 21, 49, 147

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,880,163,147,967, is 1.

Now, the common factors can be found like this.

789:3x 263

880:2x 2x 2x 2x 5x 11

163:163

147:3x 7x 7

967:967

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 16087593669840/(1x3)

LCM = 16087593669840/3

LCM = 5362531223280

Thus, we can understand that the LCM of 789,880,163,147,967 is 5362531223280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 880, 163, 147, 967

1. What is the LCM of 789, 880, 163, 147, 967?

Answer: LCM of 789, 880, 163, 147, 967 is 5362531223280.

2. How to calculate the LCM of 789, 880, 163, 147, 967?

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 789, 880, 163, 147, 967.

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}.