Least Common Multiple of 315/70, 177/9485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/70, 177/9485 quickly i.e. 531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/70, 177/9485 is 531.

LCM(315/70, 177/9485) = 531

LCM of 315/70, 177/9485

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 315/70,177/9485

Given numbers are 315/70,177/9485

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 315,177

Least Common Multiple of Numerators i.e. LCM of 315,177 is 18585.

GCF of Denominators means GCF of 70,9485 as per the given fractions.

GCF of 70,9485 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,177

LCM of Fractions 315/70,177/9485 is 531

3 315, 177
105, 59

∴ So the LCM of the given numbers is 3 x 105 x 59 = 18585

Least Common Multiple of 315,177 with GCF Formula

Least Common Multiple of 315,177 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 315,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,177) = 3

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

GCF(315,177) x common factors =3 x 1 = 3

LCM(315,177) = ( 315 × 177 ) / 3

LCM(315,177) = 55755 / 3

LCM(315,177) = 18585


Lets's calculate GCF of 70,9485

5 70, 9485
7 14, 1897
2, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18585/35

Therefore the LCM of Fractions 315/70,177/9485 is 531

Greatest Common Factor of 70,9485 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,9485 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 9485

List of positive integer factors of 9485 that divides 9485 without a remainder.

1,5,7,35,271,1355,1897,9485

Greatest Common Factor

We found the factors 70,9485 . The biggest common factor number is the GCF number.
So the greatest common factor 70,9485 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 315/70, 177/9485

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 315/70, 177/9485?

Answer: LCM of Numerators as per given numbers 315/70, 177/9485 is

LCM of Numerators i.e. for 315,177 is 18585

GCF of denominators i.e. for 70,9485 is 35.

Thus, LCM of Fractions is 531.Finally, LCM of Fractions for 315/70, 177/9485 is 531.