Question

product of two number is 5600.the h.c.f is 4 and find their L.c.m​

Answer 1

Answer:

Product of nos. =HCF*LCM

5600=4*LCM

LCM=5600/4=1400

Answer 2

$\huge\mathfrak{Answer:}$

$\large\underline{\sf{\blue{Given:}}}$

• We have been that product of two numbers is 5600
• The HCF of given numbers is 4

$\large\underline{\sf{\blue{To \: Find :}}}$

• We have to find the LCM of numbers

$\large\underline{\sf{\blue{Solution:}}}$

Let the LCM of numbers be = y

• Product of numbers = 5600
• HCF of numbers = 4

We know that Product of HCF and LCM is always equal to the Product of given numbers.

$\sf{}$

$\large\underline{\mathfrak\red{According \: to \: Condition:}}$

$\mapsto \boxed{\sf{HCF \times LCM = Product \: of \: Numbers}}$

$\mapsto \sf{4 \times y = 5600}$

$\mapsto \sf{4 \: y = 5600}$

$\mapsto \sf{y = \dfrac{5600}{4}}$

$\mapsto \boxed{\sf{y = 1400}}$

$\sf{}$

Hence the other Number is 1400

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$\large\purple{\underline{\underline{\mathtt{Extra \: Information:}}}}$

• Least Common Multiple
• Least common multiple usually known as LCM of two numbers a and b is the smallest positive integer that is divisible by both a and b
• For Eg : 6 is LCM of 2 and 3

• Highest Common Factor
• The greatest common divisor of two or more integers which is a non zero is called its HCF
• For Eg : HCF of 8 and 12 is 4

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