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LCM of 732, 358, 564, 919, 967

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


Find the LCM of 732, 358, 564, 919, 967 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 732, 358, 564, 919, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 732,358,564,919,967

Given numbers are 732,358,564,919,967

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

The LCM of 732,358,564,919,967 is 5472729154668.

Find LCM of 732,358,564,919,967 with Prime Factorization


2 732, 358, 564, 919, 967
2 366, 179, 282, 919, 967
3 183, 179, 141, 919, 967
61, 179, 47, 919, 967

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

2 x 2 x 3 x 61 x 179 x 47 x 919 x 967 = 5472729154668

Therefore, the lowest common multiple of 732,358,564,919,967 is 5472729154668.

LCM Formula to Find Lowest Common Multiple of 732,358,564,919,967

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.

732 x 358 x 564 x 919 x 967 = 131345499712032

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

358 : 1, 2, 179, 358

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

919 : 1, 919

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,358,564,919,967, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

358:2x 179

564:2x 2x 3x 47

919:919

967:967

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 131345499712032/(1x24)

LCM = 131345499712032/24

LCM = 5472729154668

Thus, we can understand that the LCM of 732,358,564,919,967 is 5472729154668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 732, 358, 564, 919, 967

1. What is the LCM of 732, 358, 564, 919, 967?

Answer: LCM of 732, 358, 564, 919, 967 is 5472729154668.

2. How to calculate the LCM of 732, 358, 564, 919, 967?

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 732, 358, 564, 919, 967.

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}.