Least Common Multiple of 75/175, 125/343, 150/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/175, 125/343, 150/490 quickly i.e. 750/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/175, 125/343, 150/490 is 750/7.

LCM(75/175, 125/343, 150/490) = 750/7

LCM of 75/175, 125/343, 150/490

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 75/175,125/343,150/490

Given numbers are 75/175,125/343,150/490

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 75,125,150

Least Common Multiple of Numerators i.e. LCM of 75,125,150 is 750.

GCF of Denominators means GCF of 175,343,490 as per the given fractions.

GCF of 175,343,490 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,125,150

LCM of Fractions 75/175,125/343,150/490 is 750/7

3 75, 125, 150
5 25, 125, 50
5 5, 25, 10
1, 5, 2

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 5 x 2 = 750

Least Common Multiple of 75,125,150 with GCF Formula

Least Common Multiple of 75,125,150 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 75,125,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,125,150) = 25

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

GCF(75,125,150) x common factors =25 x 75 = 1875

LCM(75,125,150) = ( 75 × 125 × 150 ) / 1875

LCM(75,125,150) = 1406250 / 1875

LCM(75,125,150) = 750


Lets's calculate GCF of 175,343,490

7 175, 343, 490
25, 49, 70

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750/7

Therefore the LCM of Fractions 75/175,125/343,150/490 is 750/7

Greatest Common Factor of 175,343,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,343,490 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 175,343,490 . The biggest common factor number is the GCF number.
So the greatest common factor 175,343,490 is 7.


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 75/175, 125/343, 150/490

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 75/175, 125/343, 150/490?

Answer: LCM of Numerators as per given numbers 75/175, 125/343, 150/490 is

LCM of Numerators i.e. for 75,125,150 is 750

GCF of denominators i.e. for 175,343,490 is 7.

Thus, LCM of Fractions is 750/7.Finally, LCM of Fractions for 75/175, 125/343, 150/490 is 750/7.