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LCM of 357, 142, 527, 304

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


Find the LCM of 357, 142, 527, 304 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 357, 142, 527, 304. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 357,142,527,304

Given numbers are 357,142,527,304

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

The LCM of 357,142,527,304 is 238870128.

Find LCM of 357,142,527,304 with Prime Factorization


2 357, 142, 527, 304
17 357, 71, 527, 152
21, 71, 31, 152

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

2 x 17 x 21 x 71 x 31 x 152 = 238870128

Therefore, the lowest common multiple of 357,142,527,304 is 238870128.

LCM Formula to Find Lowest Common Multiple of 357,142,527,304

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.

357 x 142 x 527 x 304 = 8121584352

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.

357 : 1, 3, 7, 17, 21, 51, 119, 357

142 : 1, 2, 71, 142

527 : 1, 17, 31, 527

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,142,527,304, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

142:2x 71

527:17x 31

304:2x 2x 2x 2x 19

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 8121584352/(1x34)

LCM = 8121584352/34

LCM = 238870128

Thus, we can understand that the LCM of 357,142,527,304 is 238870128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 357, 142, 527, 304

1. What is the LCM of 357, 142, 527, 304?

Answer: LCM of 357, 142, 527, 304 is 238870128.

2. How to calculate the LCM of 357, 142, 527, 304?

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 357, 142, 527, 304.

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}.