210
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To simplify a fraction, divide the numerator and the denominator by their GCF. Example: 30/42 The GCF of 30 and 42 is 6. 6 into 30 is 5 6 into 42 is 7 30/42 = 5/7 If the GCF of the numerator and the denominator is 1, the fraction is in its lowest terms.
It's the same process as finding the least common multiple. Example: 7/30 + 13/42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Combine the factors, eliminating duplicates. 2 x 3 x 5 x 7 = 210, the LCM Since 210 is the lowest common denominator, we can proceed to add them. 7/30 = 49/210 13/42 = 65/210 7/30 + 13/42 = 114/210 or 19/35 in lowest terms.
The easiest way to find a common denominator of two numbers is to multiply them. Therefore, one of the common denominators for 6 and 7 would be 42 (7 x 6). This method will not necessarily produce the lowest common denominator, but it will determine one. For example, multiplying 4 and 6 will give you 24 as a common denominator. However, the lowest common denominator for 4 and 6 is 12.
lowest common multiple of 6 and 42 = 42
The least common factor of 30 and 42 is the smallest number that is a factor of both of them and is 1.However, I suspect that you mean either:What is the highest common factor of 30 and 42?ie what is the highest number that is a factor of both 30 and 42: hcf = 6;What is the lowest common multiple of 30 and 42?ie that is the smallest number that is a multiple of both 30 and 42 lcm = 210.