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LCM of 148, 889, 285, 742, 707

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


Find the LCM of 148, 889, 285, 742, 707 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 148, 889, 285, 742, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,889,285,742,707

Given numbers are 148,889,285,742,707

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

The LCM of 148,889,285,742,707 is 200726901060.

Find LCM of 148,889,285,742,707 with Prime Factorization


2 148, 889, 285, 742, 707
7 74, 889, 285, 371, 707
74, 127, 285, 53, 101

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

2 x 7 x 74 x 127 x 285 x 53 x 101 = 200726901060

Therefore, the lowest common multiple of 148,889,285,742,707 is 200726901060.

LCM Formula to Find Lowest Common Multiple of 148,889,285,742,707

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.

148 x 889 x 285 x 742 x 707 = 19671236303880

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.

148 : 1, 2, 4, 37, 74, 148

889 : 1, 7, 127, 889

285 : 1, 3, 5, 15, 19, 57, 95, 285

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

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,889,285,742,707, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

889:7x 127

285:3x 5x 19

742:2x 7x 53

707:7x 101

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

2x 7x 7 = 98

Therefore, the value for common factors is 98.

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 = 19671236303880/(1x98)

LCM = 19671236303880/98

LCM = 200726901060

Thus, we can understand that the LCM of 148,889,285,742,707 is 200726901060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 889, 285, 742, 707

1. What is the LCM of 148, 889, 285, 742, 707?

Answer: LCM of 148, 889, 285, 742, 707 is 200726901060.

2. How to calculate the LCM of 148, 889, 285, 742, 707?

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 148, 889, 285, 742, 707.

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}.