The LCM is 245. The multiples of 49 are 49, 98,147,196, and 245. The multiples of 35 are 35,70, 105,140,175,210 and 245.
From the lists you can see 245 is the first common multiple. That makes it the LCM.
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245 work : 35 is 5 times 7 49 is 7 times 7 7 squared is greater than seven 5 is not repeated so 5 times 7 times 7 equals 245