Least Common Multiple of 8380/352, 3128/6050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8380/352, 3128/6050 quickly i.e. 6553160/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8380/352, 3128/6050 is 6553160/22.

LCM(8380/352, 3128/6050) = 6553160/22

LCM of 8380/352, 3128/6050

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 8380/352,3128/6050

Given numbers are 8380/352,3128/6050

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 8380,3128

Least Common Multiple of Numerators i.e. LCM of 8380,3128 is 6553160.

GCF of Denominators means GCF of 352,6050 as per the given fractions.

GCF of 352,6050 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8380,3128

LCM of Fractions 8380/352,3128/6050 is 6553160/22

2 8380, 3128
2 4190, 1564
2095, 782

∴ So the LCM of the given numbers is 2 x 2 x 2095 x 782 = 6553160

Least Common Multiple of 8380,3128 with GCF Formula

Least Common Multiple of 8380,3128 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 8380,3128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8380,3128) = 4

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

GCF(8380,3128) x common factors =4 x 1 = 4

LCM(8380,3128) = ( 8380 × 3128 ) / 4

LCM(8380,3128) = 26212640 / 4

LCM(8380,3128) = 6553160


Lets's calculate GCF of 352,6050

2 352, 6050
11 176, 3025
16, 275

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6553160/22

Therefore the LCM of Fractions 8380/352,3128/6050 is 6553160/22

Greatest Common Factor of 352,6050 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,6050 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 6050

List of positive integer factors of 6050 that divides 6050 without a remainder.

1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050

Greatest Common Factor

We found the factors 352,6050 . The biggest common factor number is the GCF number.
So the greatest common factor 352,6050 is 22.


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 8380/352, 3128/6050

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 8380/352, 3128/6050?

Answer: LCM of Numerators as per given numbers 8380/352, 3128/6050 is

LCM of Numerators i.e. for 8380,3128 is 6553160

GCF of denominators i.e. for 352,6050 is 22.

Thus, LCM of Fractions is 6553160/22.Finally, LCM of Fractions for 8380/352, 3128/6050 is 6553160/22.