the product of two numder is 2352.the hcf of the two is 14,find its LCM please answer on a papaer
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Step-by-step explanation:
product of 2 numbers = product of hcf and lcm
2352 = HCF×LCM
2352 = 14 ×LCM
2352/14 = LCM
168 = LCM
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Given :-
- The product of two numder is 2352.the hcf of the two numbers is 14.
To find :-
- LCM of two numbers
Solution :-
- Product of two numbers = 2352
- HCF of two numbers = 14
As we know that
→ LCM × HCF = Product of two numbers
→ LCM × HCF = a × b
Where " a " is first number and " b " is second number.
According to the given condition
→ LCM × HCF = Product of two numbers
→ LCM × 14 = 2352
→ LCM = 2352/14
→ LCM = 168
Hence,
- LCM of two numbers = 168
Verification :-
- LCM × HCF = Product of two numbers
Put the values
→ 168 × 14 = 2352
→ 2352 = 2352
- Therefore verified
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