Using a Venn diagram for this problem is overkill, since 6 is a multiple of 3 and will automatically be the LCM of this problem. But if you insist... Put a 3 in the left circle and put a 6 in the space where the two circles intersect.
I can't draw a venn diagram, but this will be close. 2 in the left circle, 24 in the intersection (the gcf), and 3 in the right circle. (2(24)3)=144 which is the LCM.
Venn diagrams are used in a number of different ways and the answer to the question will depend on whether you are looking at finding the LCM or HCF, or looking at conditional probabilities, for example. The question needs to be more specific.
Factor them. 2 x 3 = 6 2 x 2 x 2 x 2 = 16 2 x 19 + 38 Combine the highest amount of each factor. 2 x 2 x 2 x 2 x 3 x 19 = 912, the LCM
Look at both of the numbers' prime factors, and put them into a sum. The LCM multiple is the answer you get from that.
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
You can, but there are more efficient ways to find the LCM.
I can't draw a venn diagram, but this will be close. 2 in the left circle, 24 in the intersection (the gcf), and 3 in the right circle. (2(24)3)=144 which is the LCM.
That's a bit of unnecessary work. The LCM of 3 and 6 is 6, because 6 is a multiple of 3.
Put 12, 24, 36 and 48 in the left circle. Put 15, 30 and 45 in the right circle. Put 60, the LCM, in the space where they intersect.
Venn diagrams are used in a number of different ways and the answer to the question will depend on whether you are looking at finding the LCM or HCF, or looking at conditional probabilities, for example. The question needs to be more specific.
Two or more numbers are needed to find the LCM
Factor them. 2 x 3 = 6 2 x 2 x 2 x 2 = 16 2 x 19 + 38 Combine the highest amount of each factor. 2 x 2 x 2 x 2 x 3 x 19 = 912, the LCM
I've never found Venn diagrams all that useful. To draw one successfully, you already have to know the answer. But here goes... Example: 30 and 42 30, 60, 90, 120, 150, 180, 210 42, 84, 126, 168, 210 These are lists of multiples of 30 and 42 respectively, that would be placed in two circles. The number 210 would be placed in the center where they intersect.
The LCM of these numbers is 75. LCM is Least common multiple.
Two or more numbers are needed to find their LCM
speed you can just use your brain to find the LCM faster, sometimes.
The LCM of the given three numbers using prime factorization is 25200