Least Common Multiple of 67/97, 45/62, 34/51, 97/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/97, 45/62, 34/51, 97/943 quickly i.e. 9943470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/97, 45/62, 34/51, 97/943 is 9943470.

LCM(67/97, 45/62, 34/51, 97/943) = 9943470

LCM of 67/97, 45/62, 34/51, 97/943

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 67/97,45/62,34/51,97/943

Given numbers are 67/97,45/62,34/51,97/943

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 67,45,34,97

Least Common Multiple of Numerators i.e. LCM of 67,45,34,97 is 9943470.

GCF of Denominators means GCF of 97,62,51,943 as per the given fractions.

GCF of 97,62,51,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,45,34,97

LCM of Fractions 67/97,45/62,34/51,97/943 is 9943470

Given numbers has no common factors except 1. So, there LCM is their product i.e 9943470

Least Common Multiple of 67,45,34,97 with GCF Formula

Least Common Multiple of 67,45,34,97 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 67,45,34,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,45,34,97) = 1

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

GCF(67,45,34,97) x common factors =1 x 1 = 1

LCM(67,45,34,97) = ( 67 × 45 × 34 × 97 ) / 1

LCM(67,45,34,97) = 9943470 / 1

LCM(67,45,34,97) = 9943470


Lets's calculate GCF of 97,62,51,943

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9943470/1

Therefore the LCM of Fractions 67/97,45/62,34/51,97/943 is 9943470

Greatest Common Factor of 97,62,51,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,62,51,943 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 97,62,51,943 . The biggest common factor number is the GCF number.
So the greatest common factor 97,62,51,943 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 67/97, 45/62, 34/51, 97/943

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 67/97, 45/62, 34/51, 97/943?

Answer: LCM of Numerators as per given numbers 67/97, 45/62, 34/51, 97/943 is

LCM of Numerators i.e. for 67,45,34,97 is 9943470

GCF of denominators i.e. for 97,62,51,943 is 1.

Thus, LCM of Fractions is 9943470.Finally, LCM of Fractions for 67/97, 45/62, 34/51, 97/943 is 9943470.