Least Common Multiple of 97/65, 946/10, 909/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/65, 946/10, 909/837 quickly i.e. 83411658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/65, 946/10, 909/837 is 83411658.

LCM(97/65, 946/10, 909/837) = 83411658

LCM of 97/65, 946/10, 909/837

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 97/65,946/10,909/837

Given numbers are 97/65,946/10,909/837

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 97,946,909

Least Common Multiple of Numerators i.e. LCM of 97,946,909 is 83411658.

GCF of Denominators means GCF of 65,10,837 as per the given fractions.

GCF of 65,10,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,946,909

LCM of Fractions 97/65,946/10,909/837 is 83411658

Given numbers has no common factors except 1. So, there LCM is their product i.e 83411658

Least Common Multiple of 97,946,909 with GCF Formula

Least Common Multiple of 97,946,909 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 97,946,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,946,909) = 1

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

GCF(97,946,909) x common factors =1 x 1 = 1

LCM(97,946,909) = ( 97 × 946 × 909 ) / 1

LCM(97,946,909) = 83411658 / 1

LCM(97,946,909) = 83411658


Lets's calculate GCF of 65,10,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83411658/1

Therefore the LCM of Fractions 97/65,946/10,909/837 is 83411658

Greatest Common Factor of 65,10,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,10,837 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 65,10,837 . The biggest common factor number is the GCF number.
So the greatest common factor 65,10,837 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/65, 946/10, 909/837

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 97/65, 946/10, 909/837?

Answer: LCM of Numerators as per given numbers 97/65, 946/10, 909/837 is

LCM of Numerators i.e. for 97,946,909 is 83411658

GCF of denominators i.e. for 65,10,837 is 1.

Thus, LCM of Fractions is 83411658.Finally, LCM of Fractions for 97/65, 946/10, 909/837 is 83411658.