Least Common Multiple of 81/170, 70/435, 350/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/170, 70/435, 350/926 quickly i.e. 28350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/170, 70/435, 350/926 is 28350.

LCM(81/170, 70/435, 350/926) = 28350

LCM of 81/170, 70/435, 350/926

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 81/170,70/435,350/926

Given numbers are 81/170,70/435,350/926

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 81,70,350

Least Common Multiple of Numerators i.e. LCM of 81,70,350 is 28350.

GCF of Denominators means GCF of 170,435,926 as per the given fractions.

GCF of 170,435,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,70,350

LCM of Fractions 81/170,70/435,350/926 is 28350

2 81, 70, 350
5 81, 35, 175
7 81, 7, 35
81, 1, 5

∴ So the LCM of the given numbers is 2 x 5 x 7 x 81 x 1 x 5 = 28350

Least Common Multiple of 81,70,350 with GCF Formula

Least Common Multiple of 81,70,350 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 81,70,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,70,350) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(81,70,350) x common factors =1 x 70 = 70

LCM(81,70,350) = ( 81 × 70 × 350 ) / 70

LCM(81,70,350) = 1984500 / 70

LCM(81,70,350) = 28350


Lets's calculate GCF of 170,435,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28350/1

Therefore the LCM of Fractions 81/170,70/435,350/926 is 28350

Greatest Common Factor of 170,435,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,435,926 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 170,435,926 . The biggest common factor number is the GCF number.
So the greatest common factor 170,435,926 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 81/170, 70/435, 350/926

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 81/170, 70/435, 350/926?

Answer: LCM of Numerators as per given numbers 81/170, 70/435, 350/926 is

LCM of Numerators i.e. for 81,70,350 is 28350

GCF of denominators i.e. for 170,435,926 is 1.

Thus, LCM of Fractions is 28350.Finally, LCM of Fractions for 81/170, 70/435, 350/926 is 28350.