Least Common Multiple of 334/153, 370/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/153, 370/915 quickly i.e. 61790/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/153, 370/915 is 61790/3.

LCM(334/153, 370/915) = 61790/3

LCM of 334/153, 370/915

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 334/153,370/915

Given numbers are 334/153,370/915

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 334,370

Least Common Multiple of Numerators i.e. LCM of 334,370 is 61790.

GCF of Denominators means GCF of 153,915 as per the given fractions.

GCF of 153,915 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,370

LCM of Fractions 334/153,370/915 is 61790/3

2 334, 370
167, 185

∴ So the LCM of the given numbers is 2 x 167 x 185 = 61790

Least Common Multiple of 334,370 with GCF Formula

Least Common Multiple of 334,370 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 334,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,370) = 2

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

GCF(334,370) x common factors =2 x 1 = 2

LCM(334,370) = ( 334 × 370 ) / 2

LCM(334,370) = 123580 / 2

LCM(334,370) = 61790


Lets's calculate GCF of 153,915

3 153, 915
51, 305

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61790/3

Therefore the LCM of Fractions 334/153,370/915 is 61790/3

Greatest Common Factor of 153,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,915 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 153,915 . The biggest common factor number is the GCF number.
So the greatest common factor 153,915 is 3.


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 334/153, 370/915

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 334/153, 370/915?

Answer: LCM of Numerators as per given numbers 334/153, 370/915 is

LCM of Numerators i.e. for 334,370 is 61790

GCF of denominators i.e. for 153,915 is 3.

Thus, LCM of Fractions is 61790/3.Finally, LCM of Fractions for 334/153, 370/915 is 61790/3.