Least Common Multiple of 370/508, 9335/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 370/508, 9335/290 quickly i.e. 345395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 370/508, 9335/290 is 345395.

LCM(370/508, 9335/290) = 345395

LCM of 370/508, 9335/290

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 370/508,9335/290

Given numbers are 370/508,9335/290

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 370,9335

Least Common Multiple of Numerators i.e. LCM of 370,9335 is 690790.

GCF of Denominators means GCF of 508,290 as per the given fractions.

GCF of 508,290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 370,9335

LCM of Fractions 370/508,9335/290 is 345395

5 370, 9335
74, 1867

∴ So the LCM of the given numbers is 5 x 74 x 1867 = 690790

Least Common Multiple of 370,9335 with GCF Formula

Least Common Multiple of 370,9335 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 370,9335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,9335) = 5

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

GCF(370,9335) x common factors =5 x 1 = 5

LCM(370,9335) = ( 370 × 9335 ) / 5

LCM(370,9335) = 3453950 / 5

LCM(370,9335) = 690790


Lets's calculate GCF of 508,290

2 508, 290
254, 145

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690790/2

Therefore the LCM of Fractions 370/508,9335/290 is 345395

Greatest Common Factor of 508,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,290 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 508,290 . The biggest common factor number is the GCF number.
So the greatest common factor 508,290 is 2.


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 370/508, 9335/290

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 370/508, 9335/290?

Answer: LCM of Numerators as per given numbers 370/508, 9335/290 is

LCM of Numerators i.e. for 370,9335 is 690790

GCF of denominators i.e. for 508,290 is 2.

Thus, LCM of Fractions is 345395.Finally, LCM of Fractions for 370/508, 9335/290 is 345395.