Least Common Multiple of 675/35, 485/90, 420/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/35, 485/90, 420/785 quickly i.e. 366660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/35, 485/90, 420/785 is 366660.

LCM(675/35, 485/90, 420/785) = 366660

LCM of 675/35, 485/90, 420/785

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 675/35,485/90,420/785

Given numbers are 675/35,485/90,420/785

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 675,485,420

Least Common Multiple of Numerators i.e. LCM of 675,485,420 is 1833300.

GCF of Denominators means GCF of 35,90,785 as per the given fractions.

GCF of 35,90,785 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,485,420

LCM of Fractions 675/35,485/90,420/785 is 366660

3 675, 485, 420
5 225, 485, 140
45, 97, 28

∴ So the LCM of the given numbers is 3 x 5 x 45 x 97 x 28 = 1833300

Least Common Multiple of 675,485,420 with GCF Formula

Least Common Multiple of 675,485,420 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 675,485,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,485,420) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(675,485,420) x common factors =5 x 15 = 75

LCM(675,485,420) = ( 675 × 485 × 420 ) / 75

LCM(675,485,420) = 137497500 / 75

LCM(675,485,420) = 1833300


Lets's calculate GCF of 35,90,785

5 35, 90, 785
7, 18, 157

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1833300/5

Therefore the LCM of Fractions 675/35,485/90,420/785 is 366660

Greatest Common Factor of 35,90,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,90,785 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 35,90,785 . The biggest common factor number is the GCF number.
So the greatest common factor 35,90,785 is 5.


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 675/35, 485/90, 420/785

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 675/35, 485/90, 420/785?

Answer: LCM of Numerators as per given numbers 675/35, 485/90, 420/785 is

LCM of Numerators i.e. for 675,485,420 is 1833300

GCF of denominators i.e. for 35,90,785 is 5.

Thus, LCM of Fractions is 366660.Finally, LCM of Fractions for 675/35, 485/90, 420/785 is 366660.