Least Common Multiple of 10/97, 351/94, 608/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/97, 351/94, 608/817 quickly i.e. 1067040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/97, 351/94, 608/817 is 1067040.

LCM(10/97, 351/94, 608/817) = 1067040

LCM of 10/97, 351/94, 608/817

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 10/97,351/94,608/817

Given numbers are 10/97,351/94,608/817

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 10,351,608

Least Common Multiple of Numerators i.e. LCM of 10,351,608 is 1067040.

GCF of Denominators means GCF of 97,94,817 as per the given fractions.

GCF of 97,94,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,351,608

LCM of Fractions 10/97,351/94,608/817 is 1067040

2 10, 351, 608
5, 351, 304

∴ So the LCM of the given numbers is 2 x 5 x 351 x 304 = 1067040

Least Common Multiple of 10,351,608 with GCF Formula

Least Common Multiple of 10,351,608 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 10,351,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,351,608) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,351,608) x common factors =1 x 2 = 2

LCM(10,351,608) = ( 10 × 351 × 608 ) / 2

LCM(10,351,608) = 2134080 / 2

LCM(10,351,608) = 1067040


Lets's calculate GCF of 97,94,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1067040/1

Therefore the LCM of Fractions 10/97,351/94,608/817 is 1067040

Greatest Common Factor of 97,94,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,94,817 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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 97,94,817 . The biggest common factor number is the GCF number.
So the greatest common factor 97,94,817 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/97, 351/94, 608/817

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 10/97, 351/94, 608/817?

Answer: LCM of Numerators as per given numbers 10/97, 351/94, 608/817 is

LCM of Numerators i.e. for 10,351,608 is 1067040

GCF of denominators i.e. for 97,94,817 is 1.

Thus, LCM of Fractions is 1067040.Finally, LCM of Fractions for 10/97, 351/94, 608/817 is 1067040.