Least Common Multiple of 175/17, 142/42, 257/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/17, 142/42, 257/536 quickly i.e. 6386450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/17, 142/42, 257/536 is 6386450.

LCM(175/17, 142/42, 257/536) = 6386450

LCM of 175/17, 142/42, 257/536

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 175/17,142/42,257/536

Given numbers are 175/17,142/42,257/536

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 175,142,257

Least Common Multiple of Numerators i.e. LCM of 175,142,257 is 6386450.

GCF of Denominators means GCF of 17,42,536 as per the given fractions.

GCF of 17,42,536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,142,257

LCM of Fractions 175/17,142/42,257/536 is 6386450

Given numbers has no common factors except 1. So, there LCM is their product i.e 6386450

Least Common Multiple of 175,142,257 with GCF Formula

Least Common Multiple of 175,142,257 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 175,142,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,142,257) = 1

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

GCF(175,142,257) x common factors =1 x 1 = 1

LCM(175,142,257) = ( 175 × 142 × 257 ) / 1

LCM(175,142,257) = 6386450 / 1

LCM(175,142,257) = 6386450


Lets's calculate GCF of 17,42,536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6386450/1

Therefore the LCM of Fractions 175/17,142/42,257/536 is 6386450

Greatest Common Factor of 17,42,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,42,536 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 17,42,536 . The biggest common factor number is the GCF number.
So the greatest common factor 17,42,536 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 175/17, 142/42, 257/536

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 175/17, 142/42, 257/536?

Answer: LCM of Numerators as per given numbers 175/17, 142/42, 257/536 is

LCM of Numerators i.e. for 175,142,257 is 6386450

GCF of denominators i.e. for 17,42,536 is 1.

Thus, LCM of Fractions is 6386450.Finally, LCM of Fractions for 175/17, 142/42, 257/536 is 6386450.