Least Common Multiple of 97/108, 1610/3458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/108, 1610/3458 quickly i.e. 78085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/108, 1610/3458 is 78085.

LCM(97/108, 1610/3458) = 78085

LCM of 97/108, 1610/3458

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 97/108,1610/3458

Given numbers are 97/108,1610/3458

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 97,1610

Least Common Multiple of Numerators i.e. LCM of 97,1610 is 156170.

GCF of Denominators means GCF of 108,3458 as per the given fractions.

GCF of 108,3458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,1610

LCM of Fractions 97/108,1610/3458 is 78085

Given numbers has no common factors except 1. So, there LCM is their product i.e 156170

Least Common Multiple of 97,1610 with GCF Formula

Least Common Multiple of 97,1610 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 97,1610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,1610) = 1

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

GCF(97,1610) x common factors =1 x 1 = 1

LCM(97,1610) = ( 97 × 1610 ) / 1

LCM(97,1610) = 156170 / 1

LCM(97,1610) = 156170


Lets's calculate GCF of 108,3458

2 108, 3458
54, 1729

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156170/2

Therefore the LCM of Fractions 97/108,1610/3458 is 78085

Greatest Common Factor of 108,3458 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,3458 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 3458

List of positive integer factors of 3458 that divides 3458 without a remainder.

1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458

Greatest Common Factor

We found the factors 108,3458 . The biggest common factor number is the GCF number.
So the greatest common factor 108,3458 is 2.


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 97/108, 1610/3458

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 97/108, 1610/3458?

Answer: LCM of Numerators as per given numbers 97/108, 1610/3458 is

LCM of Numerators i.e. for 97,1610 is 156170

GCF of denominators i.e. for 108,3458 is 2.

Thus, LCM of Fractions is 78085.Finally, LCM of Fractions for 97/108, 1610/3458 is 78085.