Least Common Multiple of 10/38, 49/176, 874/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/38, 49/176, 874/722 quickly i.e. 107065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/38, 49/176, 874/722 is 107065.

LCM(10/38, 49/176, 874/722) = 107065

LCM of 10/38, 49/176, 874/722

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 10/38,49/176,874/722

Given numbers are 10/38,49/176,874/722

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 10,49,874

Least Common Multiple of Numerators i.e. LCM of 10,49,874 is 214130.

GCF of Denominators means GCF of 38,176,722 as per the given fractions.

GCF of 38,176,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,49,874

LCM of Fractions 10/38,49/176,874/722 is 107065

2 10, 49, 874
5, 49, 437

∴ So the LCM of the given numbers is 2 x 5 x 49 x 437 = 214130

Least Common Multiple of 10,49,874 with GCF Formula

Least Common Multiple of 10,49,874 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 10,49,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,49,874) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,49,874) x common factors =1 x 2 = 2

LCM(10,49,874) = ( 10 × 49 × 874 ) / 2

LCM(10,49,874) = 428260 / 2

LCM(10,49,874) = 214130


Lets's calculate GCF of 38,176,722

2 38, 176, 722
19, 88, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214130/2

Therefore the LCM of Fractions 10/38,49/176,874/722 is 107065

Greatest Common Factor of 38,176,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,176,722 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 38,176,722 . The biggest common factor number is the GCF number.
So the greatest common factor 38,176,722 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 10/38, 49/176, 874/722

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 10/38, 49/176, 874/722?

Answer: LCM of Numerators as per given numbers 10/38, 49/176, 874/722 is

LCM of Numerators i.e. for 10,49,874 is 214130

GCF of denominators i.e. for 38,176,722 is 2.

Thus, LCM of Fractions is 107065.Finally, LCM of Fractions for 10/38, 49/176, 874/722 is 107065.