Least Common Multiple of 112/98, 774/91, 717/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/98, 774/91, 717/385 quickly i.e. 1479888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/98, 774/91, 717/385 is 1479888.

LCM(112/98, 774/91, 717/385) = 1479888

LCM of 112/98, 774/91, 717/385

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 112/98,774/91,717/385

Given numbers are 112/98,774/91,717/385

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 112,774,717

Least Common Multiple of Numerators i.e. LCM of 112,774,717 is 10359216.

GCF of Denominators means GCF of 98,91,385 as per the given fractions.

GCF of 98,91,385 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,774,717

LCM of Fractions 112/98,774/91,717/385 is 1479888

2 112, 774, 717
3 56, 387, 717
56, 129, 239

∴ So the LCM of the given numbers is 2 x 3 x 56 x 129 x 239 = 10359216

Least Common Multiple of 112,774,717 with GCF Formula

Least Common Multiple of 112,774,717 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 112,774,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,774,717) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(112,774,717) x common factors =1 x 6 = 6

LCM(112,774,717) = ( 112 × 774 × 717 ) / 6

LCM(112,774,717) = 62155296 / 6

LCM(112,774,717) = 10359216


Lets's calculate GCF of 98,91,385

7 98, 91, 385
14, 13, 55

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10359216/7

Therefore the LCM of Fractions 112/98,774/91,717/385 is 1479888

Greatest Common Factor of 98,91,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,91,385 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 98,91,385 . The biggest common factor number is the GCF number.
So the greatest common factor 98,91,385 is 7.


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 112/98, 774/91, 717/385

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 112/98, 774/91, 717/385?

Answer: LCM of Numerators as per given numbers 112/98, 774/91, 717/385 is

LCM of Numerators i.e. for 112,774,717 is 10359216

GCF of denominators i.e. for 98,91,385 is 7.

Thus, LCM of Fractions is 1479888.Finally, LCM of Fractions for 112/98, 774/91, 717/385 is 1479888.