Least Common Multiple of 834/372, 5100/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/372, 5100/103 quickly i.e. 708900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/372, 5100/103 is 708900.

LCM(834/372, 5100/103) = 708900

LCM of 834/372, 5100/103

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 834/372,5100/103

Given numbers are 834/372,5100/103

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 834,5100

Least Common Multiple of Numerators i.e. LCM of 834,5100 is 708900.

GCF of Denominators means GCF of 372,103 as per the given fractions.

GCF of 372,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,5100

LCM of Fractions 834/372,5100/103 is 708900

2 834, 5100
3 417, 2550
139, 850

∴ So the LCM of the given numbers is 2 x 3 x 139 x 850 = 708900

Least Common Multiple of 834,5100 with GCF Formula

Least Common Multiple of 834,5100 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 834,5100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,5100) = 6

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

GCF(834,5100) x common factors =6 x 1 = 6

LCM(834,5100) = ( 834 × 5100 ) / 6

LCM(834,5100) = 4253400 / 6

LCM(834,5100) = 708900


Lets's calculate GCF of 372,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 708900/1

Therefore the LCM of Fractions 834/372,5100/103 is 708900

Greatest Common Factor of 372,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,103 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 372,103 . The biggest common factor number is the GCF number.
So the greatest common factor 372,103 is 1.


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 834/372, 5100/103

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 834/372, 5100/103?

Answer: LCM of Numerators as per given numbers 834/372, 5100/103 is

LCM of Numerators i.e. for 834,5100 is 708900

GCF of denominators i.e. for 372,103 is 1.

Thus, LCM of Fractions is 708900.Finally, LCM of Fractions for 834/372, 5100/103 is 708900.