Least Common Multiple of 918/15, 832/6716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 918/15, 832/6716 quickly i.e. 381888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/15, 832/6716 is 381888.

LCM(918/15, 832/6716) = 381888

LCM of 918/15, 832/6716

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 918/15,832/6716

Given numbers are 918/15,832/6716

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 918,832

Least Common Multiple of Numerators i.e. LCM of 918,832 is 381888.

GCF of Denominators means GCF of 15,6716 as per the given fractions.

GCF of 15,6716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,832

LCM of Fractions 918/15,832/6716 is 381888

2 918, 832
459, 416

∴ So the LCM of the given numbers is 2 x 459 x 416 = 381888

Least Common Multiple of 918,832 with GCF Formula

Least Common Multiple of 918,832 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 918,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,832) = 2

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

GCF(918,832) x common factors =2 x 1 = 2

LCM(918,832) = ( 918 × 832 ) / 2

LCM(918,832) = 763776 / 2

LCM(918,832) = 381888


Lets's calculate GCF of 15,6716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381888/1

Therefore the LCM of Fractions 918/15,832/6716 is 381888

Greatest Common Factor of 15,6716 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,6716 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 6716

List of positive integer factors of 6716 that divides 6716 without a remainder.

1,2,4,23,46,73,92,146,292,1679,3358,6716

Greatest Common Factor

We found the factors 15,6716 . The biggest common factor number is the GCF number.
So the greatest common factor 15,6716 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 918/15, 832/6716

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 918/15, 832/6716?

Answer: LCM of Numerators as per given numbers 918/15, 832/6716 is

LCM of Numerators i.e. for 918,832 is 381888

GCF of denominators i.e. for 15,6716 is 1.

Thus, LCM of Fractions is 381888.Finally, LCM of Fractions for 918/15, 832/6716 is 381888.