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LCM of 385, 147, 180, 274

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


Find the LCM of 385, 147, 180, 274 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 385, 147, 180, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 385,147,180,274

Given numbers are 385,147,180,274

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

The LCM of 385,147,180,274 is 13291740.

Find LCM of 385,147,180,274 with Prime Factorization


2 385, 147, 180, 274
3 385, 147, 90, 137
5 385, 49, 30, 137
7 77, 49, 6, 137
11, 7, 6, 137

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

2 x 3 x 5 x 7 x 11 x 7 x 6 x 137 = 13291740

Therefore, the lowest common multiple of 385,147,180,274 is 13291740.

LCM Formula to Find Lowest Common Multiple of 385,147,180,274

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.

385 x 147 x 180 x 274 = 2791265400

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

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

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,147,180,274, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

147:3x 7x 7

180:2x 2x 3x 3x 5

274:2x 137

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

2x 3x 5x 7 = 210

Therefore, the value for common factors is 210.

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 = 2791265400/(1x210)

LCM = 2791265400/210

LCM = 13291740

Thus, we can understand that the LCM of 385,147,180,274 is 13291740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 385, 147, 180, 274

1. What is the LCM of 385, 147, 180, 274?

Answer: LCM of 385, 147, 180, 274 is 13291740.

2. How to calculate the LCM of 385, 147, 180, 274?

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 385, 147, 180, 274.

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}.