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Answers
Step-by-step explanation:
(D) 1) Divide your numbers by prime numbers as long as at least one of your numbers is evenly divisible by a prime number.
Bring down any numbers that are not evenly divisible by the prime number.
When the last row of results is all 1's you are done.
Find the product of the prime numbers in the first column to get the LCM:
LCM = 2 x 2 x 3 x 5 x 5 x 7
LCM = 2100
Therefore,
LCM(140, 210, 350) = 2100
2) Given,
H.C.F of two numbers = 61
L.C.M of two numbers=?
Let the L.C.M be x
As we know,
L.C.M * H.C.F= product of two numbers
x* H.C.F = 55815
x = 55815÷61
x = 915
L.C.M = 915
Hence the L.C.M of two numbers is 915
3) HCF of 20, 25 and 30 can be represented as HCF of (HCF of 20, 25) and 30. HCF(20, 25, 30) can be thus calculated by first finding HCF(20, 25) using long division and thereafter using this result with 30 to perform long division again.
Step 1: Divide 25 (larger number) by 20 (smaller number).
Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (20) by the remainder (5). Repeat this process until the remainder = 0.
⇒ HCF(20, 25) = 5.
Step 3: Now to find the HCF of 5 and 30, we will perform a long division on 30 and 5.
Step 4: For remainder = 0, divisor = 5 ⇒ HCF(5, 30) = 5
Thus, HCF(20, 25, 30) = HCF(HCF(20, 25), 30) = 5.
(E) 1) Solution:
Two containers have 16L and 24L oil respectively
Find H.C.F of 16 and 24
2/16 2/24
2/8 2/12
2/4 2/6
2/2 3/3
1 1
16= 2×2×2×2
24 = 2×2×2×3
H.C.F = 2×2×2
H.C.F = 8
Thus, the largest measuring can that can exactly measure oil from both the containers is 8 liters.
2) SORRY CAN'T SOLVE THIS
Answer:
The highest number that divides 20, 25, and 30 exactly is their highest common factor. The HCF of 20, 25, and 30 is 5. ∴ The highest number that divides 20, 25, and 30 is 5.
...
Solution:
20 = 2 × 2 × 5.
25 = 5 × 5.
30 = 2 × 3 × 5.
Step-by-step explanation:
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