Least Common Multiple of 7912/405, 1335/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7912/405, 1335/358 quickly i.e. 10562520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7912/405, 1335/358 is 10562520.

LCM(7912/405, 1335/358) = 10562520

LCM of 7912/405, 1335/358

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 7912/405,1335/358

Given numbers are 7912/405,1335/358

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 7912,1335

Least Common Multiple of Numerators i.e. LCM of 7912,1335 is 10562520.

GCF of Denominators means GCF of 405,358 as per the given fractions.

GCF of 405,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7912,1335

LCM of Fractions 7912/405,1335/358 is 10562520

Given numbers has no common factors except 1. So, there LCM is their product i.e 10562520

Least Common Multiple of 7912,1335 with GCF Formula

Least Common Multiple of 7912,1335 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 7912,1335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7912,1335) = 1

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

GCF(7912,1335) x common factors =1 x 1 = 1

LCM(7912,1335) = ( 7912 × 1335 ) / 1

LCM(7912,1335) = 10562520 / 1

LCM(7912,1335) = 10562520


Lets's calculate GCF of 405,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10562520/1

Therefore the LCM of Fractions 7912/405,1335/358 is 10562520

Greatest Common Factor of 405,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,358 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 405,358 . The biggest common factor number is the GCF number.
So the greatest common factor 405,358 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7912/405, 1335/358

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 7912/405, 1335/358?

Answer: LCM of Numerators as per given numbers 7912/405, 1335/358 is

LCM of Numerators i.e. for 7912,1335 is 10562520

GCF of denominators i.e. for 405,358 is 1.

Thus, LCM of Fractions is 10562520.Finally, LCM of Fractions for 7912/405, 1335/358 is 10562520.