Least Common Multiple of 97/810, 431/434, 478/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/810, 431/434, 478/117 quickly i.e. 19983746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/810, 431/434, 478/117 is 19983746.

LCM(97/810, 431/434, 478/117) = 19983746

LCM of 97/810, 431/434, 478/117

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 97/810,431/434,478/117

Given numbers are 97/810,431/434,478/117

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 97,431,478

Least Common Multiple of Numerators i.e. LCM of 97,431,478 is 19983746.

GCF of Denominators means GCF of 810,434,117 as per the given fractions.

GCF of 810,434,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,431,478

LCM of Fractions 97/810,431/434,478/117 is 19983746

Given numbers has no common factors except 1. So, there LCM is their product i.e 19983746

Least Common Multiple of 97,431,478 with GCF Formula

Least Common Multiple of 97,431,478 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 97,431,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,431,478) = 1

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

GCF(97,431,478) x common factors =1 x 1 = 1

LCM(97,431,478) = ( 97 × 431 × 478 ) / 1

LCM(97,431,478) = 19983746 / 1

LCM(97,431,478) = 19983746


Lets's calculate GCF of 810,434,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19983746/1

Therefore the LCM of Fractions 97/810,431/434,478/117 is 19983746

Greatest Common Factor of 810,434,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,434,117 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 810,434,117 . The biggest common factor number is the GCF number.
So the greatest common factor 810,434,117 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 97/810, 431/434, 478/117

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 97/810, 431/434, 478/117?

Answer: LCM of Numerators as per given numbers 97/810, 431/434, 478/117 is

LCM of Numerators i.e. for 97,431,478 is 19983746

GCF of denominators i.e. for 810,434,117 is 1.

Thus, LCM of Fractions is 19983746.Finally, LCM of Fractions for 97/810, 431/434, 478/117 is 19983746.