Least Common Multiple of 89/697, 35/930, 102/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/697, 35/930, 102/945 quickly i.e. 317730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/697, 35/930, 102/945 is 317730.

LCM(89/697, 35/930, 102/945) = 317730

LCM of 89/697, 35/930, 102/945

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 89/697,35/930,102/945

Given numbers are 89/697,35/930,102/945

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 89,35,102

Least Common Multiple of Numerators i.e. LCM of 89,35,102 is 317730.

GCF of Denominators means GCF of 697,930,945 as per the given fractions.

GCF of 697,930,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,35,102

LCM of Fractions 89/697,35/930,102/945 is 317730

Given numbers has no common factors except 1. So, there LCM is their product i.e 317730

Least Common Multiple of 89,35,102 with GCF Formula

Least Common Multiple of 89,35,102 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 89,35,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,35,102) = 1

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

GCF(89,35,102) x common factors =1 x 1 = 1

LCM(89,35,102) = ( 89 × 35 × 102 ) / 1

LCM(89,35,102) = 317730 / 1

LCM(89,35,102) = 317730


Lets's calculate GCF of 697,930,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317730/1

Therefore the LCM of Fractions 89/697,35/930,102/945 is 317730

Greatest Common Factor of 697,930,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,930,945 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 697,930,945 . The biggest common factor number is the GCF number.
So the greatest common factor 697,930,945 is 1.


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 89/697, 35/930, 102/945

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 89/697, 35/930, 102/945?

Answer: LCM of Numerators as per given numbers 89/697, 35/930, 102/945 is

LCM of Numerators i.e. for 89,35,102 is 317730

GCF of denominators i.e. for 697,930,945 is 1.

Thus, LCM of Fractions is 317730.Finally, LCM of Fractions for 89/697, 35/930, 102/945 is 317730.