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LCM of 854, 740, 111, 155

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


Find the LCM of 854, 740, 111, 155 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 854, 740, 111, 155. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,740,111,155

Given numbers are 854,740,111,155

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

The LCM of 854,740,111,155 is 29386140.

Find LCM of 854,740,111,155 with Prime Factorization


2 854, 740, 111, 155
5 427, 370, 111, 155
37 427, 74, 111, 31
427, 2, 3, 31

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

2 x 5 x 37 x 427 x 2 x 3 x 31 = 29386140

Therefore, the lowest common multiple of 854,740,111,155 is 29386140.

LCM Formula to Find Lowest Common Multiple of 854,740,111,155

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.

854 x 740 x 111 x 155 = 10872871800

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

111 : 1, 3, 37, 111

155 : 1, 5, 31, 155

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,740,111,155, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

740:2x 2x 5x 37

111:3x 37

155:5x 31

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

2x 5x 37 = 370

Therefore, the value for common factors is 370.

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 = 10872871800/(1x370)

LCM = 10872871800/370

LCM = 29386140

Thus, we can understand that the LCM of 854,740,111,155 is 29386140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 740, 111, 155

1. What is the LCM of 854, 740, 111, 155?

Answer: LCM of 854, 740, 111, 155 is 29386140.

2. How to calculate the LCM of 854, 740, 111, 155?

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 854, 740, 111, 155.

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}.