Least Common Multiple of 9514/380, 6850/8972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9514/380, 6850/8972 quickly i.e. 32585450/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9514/380, 6850/8972 is 32585450/4.

LCM(9514/380, 6850/8972) = 32585450/4

LCM of 9514/380, 6850/8972

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 9514/380,6850/8972

Given numbers are 9514/380,6850/8972

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 9514,6850

Least Common Multiple of Numerators i.e. LCM of 9514,6850 is 32585450.

GCF of Denominators means GCF of 380,8972 as per the given fractions.

GCF of 380,8972 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9514,6850

LCM of Fractions 9514/380,6850/8972 is 32585450/4

2 9514, 6850
4757, 3425

∴ So the LCM of the given numbers is 2 x 4757 x 3425 = 32585450

Least Common Multiple of 9514,6850 with GCF Formula

Least Common Multiple of 9514,6850 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 9514,6850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9514,6850) = 2

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

GCF(9514,6850) x common factors =2 x 1 = 2

LCM(9514,6850) = ( 9514 × 6850 ) / 2

LCM(9514,6850) = 65170900 / 2

LCM(9514,6850) = 32585450


Lets's calculate GCF of 380,8972

2 380, 8972
2 190, 4486
95, 2243

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32585450/4

Therefore the LCM of Fractions 9514/380,6850/8972 is 32585450/4

Greatest Common Factor of 380,8972 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,8972 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1,2,4,2243,4486,8972

Greatest Common Factor

We found the factors 380,8972 . The biggest common factor number is the GCF number.
So the greatest common factor 380,8972 is 4.


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 9514/380, 6850/8972

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 9514/380, 6850/8972?

Answer: LCM of Numerators as per given numbers 9514/380, 6850/8972 is

LCM of Numerators i.e. for 9514,6850 is 32585450

GCF of denominators i.e. for 380,8972 is 4.

Thus, LCM of Fractions is 32585450/4.Finally, LCM of Fractions for 9514/380, 6850/8972 is 32585450/4.