Least Common Multiple of 15/170, 75/542, 350/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/170, 75/542, 350/548 quickly i.e. 525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/170, 75/542, 350/548 is 525.

LCM(15/170, 75/542, 350/548) = 525

LCM of 15/170, 75/542, 350/548

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 15/170,75/542,350/548

Given numbers are 15/170,75/542,350/548

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 15,75,350

Least Common Multiple of Numerators i.e. LCM of 15,75,350 is 1050.

GCF of Denominators means GCF of 170,542,548 as per the given fractions.

GCF of 170,542,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,75,350

LCM of Fractions 15/170,75/542,350/548 is 525

3 15, 75, 350
5 5, 25, 350
5 1, 5, 70
1, 1, 14

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 1 x 14 = 1050

Least Common Multiple of 15,75,350 with GCF Formula

Least Common Multiple of 15,75,350 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 15,75,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,75,350) = 5

common factors(in case of two or more numbers have common factors) = 75

GCF(15,75,350) x common factors =5 x 75 = 375

LCM(15,75,350) = ( 15 × 75 × 350 ) / 375

LCM(15,75,350) = 393750 / 375

LCM(15,75,350) = 1050


Lets's calculate GCF of 170,542,548

2 170, 542, 548
85, 271, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1050/2

Therefore the LCM of Fractions 15/170,75/542,350/548 is 525

Greatest Common Factor of 170,542,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,542,548 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 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 170,542,548 . The biggest common factor number is the GCF number.
So the greatest common factor 170,542,548 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 15/170, 75/542, 350/548

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 15/170, 75/542, 350/548?

Answer: LCM of Numerators as per given numbers 15/170, 75/542, 350/548 is

LCM of Numerators i.e. for 15,75,350 is 1050

GCF of denominators i.e. for 170,542,548 is 2.

Thus, LCM of Fractions is 525.Finally, LCM of Fractions for 15/170, 75/542, 350/548 is 525.