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LCM of 476, 154, 189, 994, 786

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


Find the LCM of 476, 154, 189, 994, 786 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 476, 154, 189, 994, 786. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,154,189,994,786

Given numbers are 476,154,189,994,786

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

The LCM of 476,154,189,994,786 is 1314900972.

Find LCM of 476,154,189,994,786 with Prime Factorization


2 476, 154, 189, 994, 786
3 238, 77, 189, 497, 393
7 238, 77, 63, 497, 131
34, 11, 9, 71, 131

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

2 x 3 x 7 x 34 x 11 x 9 x 71 x 131 = 1314900972

Therefore, the lowest common multiple of 476,154,189,994,786 is 1314900972.

LCM Formula to Find Lowest Common Multiple of 476,154,189,994,786

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.

476 x 154 x 189 x 994 x 786 = 10824264801504

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

154 : 1, 2, 7, 11, 14, 22, 77, 154

189 : 1, 3, 7, 9, 21, 27, 63, 189

994 : 1, 2, 7, 14, 71, 142, 497, 994

786 : 1, 2, 3, 6, 131, 262, 393, 786

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,154,189,994,786, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

154:2x 7x 11

189:3x 3x 3x 7

994:2x 7x 71

786:2x 3x 131

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 3x 7x 7x 7 = 8232

Therefore, the value for common factors is 8232.

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 = 10824264801504/(1x8232)

LCM = 10824264801504/8232

LCM = 1314900972

Thus, we can understand that the LCM of 476,154,189,994,786 is 1314900972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 154, 189, 994, 786

1. What is the LCM of 476, 154, 189, 994, 786?

Answer: LCM of 476, 154, 189, 994, 786 is 1314900972.

2. How to calculate the LCM of 476, 154, 189, 994, 786?

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 476, 154, 189, 994, 786.

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}.