Least Common Multiple of 334/84, 307/7470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/84, 307/7470 quickly i.e. 102538/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/84, 307/7470 is 102538/6.

LCM(334/84, 307/7470) = 102538/6

LCM of 334/84, 307/7470

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 334/84,307/7470

Given numbers are 334/84,307/7470

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 334,307

Least Common Multiple of Numerators i.e. LCM of 334,307 is 102538.

GCF of Denominators means GCF of 84,7470 as per the given fractions.

GCF of 84,7470 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,307

LCM of Fractions 334/84,307/7470 is 102538/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 102538

Least Common Multiple of 334,307 with GCF Formula

Least Common Multiple of 334,307 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 334,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,307) = 1

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

GCF(334,307) x common factors =1 x 1 = 1

LCM(334,307) = ( 334 × 307 ) / 1

LCM(334,307) = 102538 / 1

LCM(334,307) = 102538


Lets's calculate GCF of 84,7470

2 84, 7470
3 42, 3735
14, 1245

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102538/6

Therefore the LCM of Fractions 334/84,307/7470 is 102538/6

Greatest Common Factor of 84,7470 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,7470 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470

Greatest Common Factor

We found the factors 84,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7470 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 334/84, 307/7470

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 334/84, 307/7470?

Answer: LCM of Numerators as per given numbers 334/84, 307/7470 is

LCM of Numerators i.e. for 334,307 is 102538

GCF of denominators i.e. for 84,7470 is 6.

Thus, LCM of Fractions is 102538/6.Finally, LCM of Fractions for 334/84, 307/7470 is 102538/6.