Least Common Multiple of 37/497, 1708/9212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/497, 1708/9212 quickly i.e. 9028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/497, 1708/9212 is 9028.

LCM(37/497, 1708/9212) = 9028

LCM of 37/497, 1708/9212

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 37/497,1708/9212

Given numbers are 37/497,1708/9212

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 37,1708

Least Common Multiple of Numerators i.e. LCM of 37,1708 is 63196.

GCF of Denominators means GCF of 497,9212 as per the given fractions.

GCF of 497,9212 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,1708

LCM of Fractions 37/497,1708/9212 is 9028

Given numbers has no common factors except 1. So, there LCM is their product i.e 63196

Least Common Multiple of 37,1708 with GCF Formula

Least Common Multiple of 37,1708 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 37,1708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,1708) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,1708) x common factors =1 x 1 = 1

LCM(37,1708) = ( 37 × 1708 ) / 1

LCM(37,1708) = 63196 / 1

LCM(37,1708) = 63196


Lets's calculate GCF of 497,9212

7 497, 9212
71, 1316

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63196/7

Therefore the LCM of Fractions 37/497,1708/9212 is 9028

Greatest Common Factor of 497,9212 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,9212 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 9212

List of positive integer factors of 9212 that divides 9212 without a remainder.

1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212

Greatest Common Factor

We found the factors 497,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 497,9212 is 7.


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Frequently Asked Questions on Fractional LCM of 37/497, 1708/9212

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 37/497, 1708/9212?

Answer: LCM of Numerators as per given numbers 37/497, 1708/9212 is

LCM of Numerators i.e. for 37,1708 is 63196

GCF of denominators i.e. for 497,9212 is 7.

Thus, LCM of Fractions is 9028.Finally, LCM of Fractions for 37/497, 1708/9212 is 9028.