Least Common Multiple of 315/97, 834/95, 212/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/97, 834/95, 212/70 quickly i.e. 9282420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/97, 834/95, 212/70 is 9282420.

LCM(315/97, 834/95, 212/70) = 9282420

LCM of 315/97, 834/95, 212/70

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 315/97,834/95,212/70

Given numbers are 315/97,834/95,212/70

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 315,834,212

Least Common Multiple of Numerators i.e. LCM of 315,834,212 is 9282420.

GCF of Denominators means GCF of 97,95,70 as per the given fractions.

GCF of 97,95,70 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,834,212

LCM of Fractions 315/97,834/95,212/70 is 9282420

2 315, 834, 212
3 315, 417, 106
105, 139, 106

∴ So the LCM of the given numbers is 2 x 3 x 105 x 139 x 106 = 9282420

Least Common Multiple of 315,834,212 with GCF Formula

Least Common Multiple of 315,834,212 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 315,834,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,834,212) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(315,834,212) x common factors =1 x 6 = 6

LCM(315,834,212) = ( 315 × 834 × 212 ) / 6

LCM(315,834,212) = 55694520 / 6

LCM(315,834,212) = 9282420


Lets's calculate GCF of 97,95,70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9282420/1

Therefore the LCM of Fractions 315/97,834/95,212/70 is 9282420

Greatest Common Factor of 97,95,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,95,70 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 70

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

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

Greatest Common Factor

We found the factors 97,95,70 . The biggest common factor number is the GCF number.
So the greatest common factor 97,95,70 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 315/97, 834/95, 212/70

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 315/97, 834/95, 212/70?

Answer: LCM of Numerators as per given numbers 315/97, 834/95, 212/70 is

LCM of Numerators i.e. for 315,834,212 is 9282420

GCF of denominators i.e. for 97,95,70 is 1.

Thus, LCM of Fractions is 9282420.Finally, LCM of Fractions for 315/97, 834/95, 212/70 is 9282420.