Least Common Multiple of 4170/175, 6735/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4170/175, 6735/665 quickly i.e. 1872330/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4170/175, 6735/665 is 1872330/35.

LCM(4170/175, 6735/665) = 1872330/35

LCM of 4170/175, 6735/665

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 4170/175,6735/665

Given numbers are 4170/175,6735/665

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 4170,6735

Least Common Multiple of Numerators i.e. LCM of 4170,6735 is 1872330.

GCF of Denominators means GCF of 175,665 as per the given fractions.

GCF of 175,665 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4170,6735

LCM of Fractions 4170/175,6735/665 is 1872330/35

3 4170, 6735
5 1390, 2245
278, 449

∴ So the LCM of the given numbers is 3 x 5 x 278 x 449 = 1872330

Least Common Multiple of 4170,6735 with GCF Formula

Least Common Multiple of 4170,6735 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 4170,6735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4170,6735) = 15

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

GCF(4170,6735) x common factors =15 x 1 = 15

LCM(4170,6735) = ( 4170 × 6735 ) / 15

LCM(4170,6735) = 28084950 / 15

LCM(4170,6735) = 1872330


Lets's calculate GCF of 175,665

5 175, 665
7 35, 133
5, 19

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1872330/35

Therefore the LCM of Fractions 4170/175,6735/665 is 1872330/35

Greatest Common Factor of 175,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,665 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 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 175,665 . The biggest common factor number is the GCF number.
So the greatest common factor 175,665 is 35.


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 4170/175, 6735/665

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 4170/175, 6735/665?

Answer: LCM of Numerators as per given numbers 4170/175, 6735/665 is

LCM of Numerators i.e. for 4170,6735 is 1872330

GCF of denominators i.e. for 175,665 is 35.

Thus, LCM of Fractions is 1872330/35.Finally, LCM of Fractions for 4170/175, 6735/665 is 1872330/35.