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LCM of 235, 527, 551, 606, 642

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


Find the LCM of 235, 527, 551, 606, 642 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 235, 527, 551, 606, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,527,551,606,642

Given numbers are 235,527,551,606,642

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

The LCM of 235,527,551,606,642 is 4424726976990.

Find LCM of 235,527,551,606,642 with Prime Factorization


2 235, 527, 551, 606, 642
3 235, 527, 551, 303, 321
235, 527, 551, 101, 107

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

2 x 3 x 235 x 527 x 551 x 101 x 107 = 4424726976990

Therefore, the lowest common multiple of 235,527,551,606,642 is 4424726976990.

LCM Formula to Find Lowest Common Multiple of 235,527,551,606,642

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.

235 x 527 x 551 x 606 x 642 = 26548361861940

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.

235 : 1, 5, 47, 235

527 : 1, 17, 31, 527

551 : 1, 19, 29, 551

606 : 1, 2, 3, 6, 101, 202, 303, 606

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,527,551,606,642, is 1.

Now, the common factors can be found like this.

235:5x 47

527:17x 31

551:19x 29

606:2x 3x 101

642:2x 3x 107

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 26548361861940/(1x6)

LCM = 26548361861940/6

LCM = 4424726976990

Thus, we can understand that the LCM of 235,527,551,606,642 is 4424726976990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 235, 527, 551, 606, 642

1. What is the LCM of 235, 527, 551, 606, 642?

Answer: LCM of 235, 527, 551, 606, 642 is 4424726976990.

2. How to calculate the LCM of 235, 527, 551, 606, 642?

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 235, 527, 551, 606, 642.

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}.