Least Common Multiple of 7315/236, 6310/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7315/236, 6310/355 quickly i.e. 9231530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7315/236, 6310/355 is 9231530.

LCM(7315/236, 6310/355) = 9231530

LCM of 7315/236, 6310/355

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 7315/236,6310/355

Given numbers are 7315/236,6310/355

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 7315,6310

Least Common Multiple of Numerators i.e. LCM of 7315,6310 is 9231530.

GCF of Denominators means GCF of 236,355 as per the given fractions.

GCF of 236,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7315,6310

LCM of Fractions 7315/236,6310/355 is 9231530

5 7315, 6310
1463, 1262

∴ So the LCM of the given numbers is 5 x 1463 x 1262 = 9231530

Least Common Multiple of 7315,6310 with GCF Formula

Least Common Multiple of 7315,6310 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 7315,6310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7315,6310) = 5

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

GCF(7315,6310) x common factors =5 x 1 = 5

LCM(7315,6310) = ( 7315 × 6310 ) / 5

LCM(7315,6310) = 46157650 / 5

LCM(7315,6310) = 9231530


Lets's calculate GCF of 236,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9231530/1

Therefore the LCM of Fractions 7315/236,6310/355 is 9231530

Greatest Common Factor of 236,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,355 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 236,355 . The biggest common factor number is the GCF number.
So the greatest common factor 236,355 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7315/236, 6310/355

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 7315/236, 6310/355?

Answer: LCM of Numerators as per given numbers 7315/236, 6310/355 is

LCM of Numerators i.e. for 7315,6310 is 9231530

GCF of denominators i.e. for 236,355 is 1.

Thus, LCM of Fractions is 9231530.Finally, LCM of Fractions for 7315/236, 6310/355 is 9231530.