Least Common Multiple of 1/38, 98/126, 74/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/38, 98/126, 74/860 quickly i.e. 1813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/38, 98/126, 74/860 is 1813.

LCM(1/38, 98/126, 74/860) = 1813

LCM of 1/38, 98/126, 74/860

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 1/38,98/126,74/860

Given numbers are 1/38,98/126,74/860

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 1,98,74

Least Common Multiple of Numerators i.e. LCM of 1,98,74 is 3626.

GCF of Denominators means GCF of 38,126,860 as per the given fractions.

GCF of 38,126,860 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,98,74

LCM of Fractions 1/38,98/126,74/860 is 1813

2 1, 98, 74
1, 49, 37

∴ So the LCM of the given numbers is 2 x 1 x 49 x 37 = 3626

Least Common Multiple of 1,98,74 with GCF Formula

Least Common Multiple of 1,98,74 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 1,98,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,98,74) = 1

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

GCF(1,98,74) x common factors =1 x 2 = 2

LCM(1,98,74) = ( 1 × 98 × 74 ) / 2

LCM(1,98,74) = 7252 / 2

LCM(1,98,74) = 3626


Lets's calculate GCF of 38,126,860

2 38, 126, 860
19, 63, 430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3626/2

Therefore the LCM of Fractions 1/38,98/126,74/860 is 1813

Greatest Common Factor of 38,126,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,126,860 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 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 38,126,860 . The biggest common factor number is the GCF number.
So the greatest common factor 38,126,860 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 1/38, 98/126, 74/860

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 1/38, 98/126, 74/860?

Answer: LCM of Numerators as per given numbers 1/38, 98/126, 74/860 is

LCM of Numerators i.e. for 1,98,74 is 3626

GCF of denominators i.e. for 38,126,860 is 2.

Thus, LCM of Fractions is 1813.Finally, LCM of Fractions for 1/38, 98/126, 74/860 is 1813.