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LCM of 653, 785, 533, 155, 968

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


Find the LCM of 653, 785, 533, 155, 968 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 653, 785, 533, 155, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,785,533,155,968

Given numbers are 653,785,533,155,968

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

The LCM of 653,785,533,155,968 is 8198739697720.

Find LCM of 653,785,533,155,968 with Prime Factorization


5 653, 785, 533, 155, 968
653, 157, 533, 31, 968

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

5 x 653 x 157 x 533 x 31 x 968 = 8198739697720

Therefore, the lowest common multiple of 653,785,533,155,968 is 8198739697720.

LCM Formula to Find Lowest Common Multiple of 653,785,533,155,968

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.

653 x 785 x 533 x 155 x 968 = 40993698488600

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.

653 : 1, 653

785 : 1, 5, 157, 785

533 : 1, 13, 41, 533

155 : 1, 5, 31, 155

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,785,533,155,968, is 1.

Now, the common factors can be found like this.

653:653

785:5x 157

533:13x 41

155:5x 31

968:2x 2x 2x 11x 11

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

5 = 5

Therefore, the value for common factors is 5.

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 = 40993698488600/(1x5)

LCM = 40993698488600/5

LCM = 8198739697720

Thus, we can understand that the LCM of 653,785,533,155,968 is 8198739697720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 653, 785, 533, 155, 968

1. What is the LCM of 653, 785, 533, 155, 968?

Answer: LCM of 653, 785, 533, 155, 968 is 8198739697720.

2. How to calculate the LCM of 653, 785, 533, 155, 968?

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 653, 785, 533, 155, 968.

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}.