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LCM of 148, 450, 917, 473, 202

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


Find the LCM of 148, 450, 917, 473, 202 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, 450, 917, 473, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,450,917,473,202

Given numbers are 148,450,917,473,202

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

The LCM of 148,450,917,473,202 is 1458801105300.

Find LCM of 148,450,917,473,202 with Prime Factorization


2 148, 450, 917, 473, 202
74, 225, 917, 473, 101

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

2 x 74 x 225 x 917 x 473 x 101 = 1458801105300

Therefore, the lowest common multiple of 148,450,917,473,202 is 1458801105300.

LCM Formula to Find Lowest Common Multiple of 148,450,917,473,202

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 450 x 917 x 473 x 202 = 5835204421200

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

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

917 : 1, 7, 131, 917

473 : 1, 11, 43, 473

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,450,917,473,202, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

450:2x 3x 3x 5x 5

917:7x 131

473:11x 43

202:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 5835204421200/(1x4)

LCM = 5835204421200/4

LCM = 1458801105300

Thus, we can understand that the LCM of 148,450,917,473,202 is 1458801105300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 450, 917, 473, 202

1. What is the LCM of 148, 450, 917, 473, 202?

Answer: LCM of 148, 450, 917, 473, 202 is 1458801105300.

2. How to calculate the LCM of 148, 450, 917, 473, 202?

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, 450, 917, 473, 202.

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}.