Least Common Multiple of 170/28, 342/28, 299/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/28, 342/28, 299/784 quickly i.e. 8691930/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/28, 342/28, 299/784 is 8691930/28.

LCM(170/28, 342/28, 299/784) = 8691930/28

LCM of 170/28, 342/28, 299/784

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 170/28,342/28,299/784

Given numbers are 170/28,342/28,299/784

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 170,342,299

Least Common Multiple of Numerators i.e. LCM of 170,342,299 is 8691930.

GCF of Denominators means GCF of 28,28,784 as per the given fractions.

GCF of 28,28,784 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,342,299

LCM of Fractions 170/28,342/28,299/784 is 8691930/28

2 170, 342, 299
85, 171, 299

∴ So the LCM of the given numbers is 2 x 85 x 171 x 299 = 8691930

Least Common Multiple of 170,342,299 with GCF Formula

Least Common Multiple of 170,342,299 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 170,342,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,342,299) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(170,342,299) x common factors =1 x 2 = 2

LCM(170,342,299) = ( 170 × 342 × 299 ) / 2

LCM(170,342,299) = 17383860 / 2

LCM(170,342,299) = 8691930


Lets's calculate GCF of 28,28,784

2 28, 28, 784
2 14, 14, 392
7 7, 7, 196
1, 1, 28

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8691930/28

Therefore the LCM of Fractions 170/28,342/28,299/784 is 8691930/28

Greatest Common Factor of 28,28,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,28,784 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 28,28,784 . The biggest common factor number is the GCF number.
So the greatest common factor 28,28,784 is 28.


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 170/28, 342/28, 299/784

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 170/28, 342/28, 299/784?

Answer: LCM of Numerators as per given numbers 170/28, 342/28, 299/784 is

LCM of Numerators i.e. for 170,342,299 is 8691930

GCF of denominators i.e. for 28,28,784 is 28.

Thus, LCM of Fractions is 8691930/28.Finally, LCM of Fractions for 170/28, 342/28, 299/784 is 8691930/28.