Least Common Multiple of 9970/305, 5048/7000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9970/305, 5048/7000 quickly i.e. 5032856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9970/305, 5048/7000 is 5032856.

LCM(9970/305, 5048/7000) = 5032856

LCM of 9970/305, 5048/7000

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 9970/305,5048/7000

Given numbers are 9970/305,5048/7000

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 9970,5048

Least Common Multiple of Numerators i.e. LCM of 9970,5048 is 25164280.

GCF of Denominators means GCF of 305,7000 as per the given fractions.

GCF of 305,7000 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9970,5048

LCM of Fractions 9970/305,5048/7000 is 5032856

2 9970, 5048
4985, 2524

∴ So the LCM of the given numbers is 2 x 4985 x 2524 = 25164280

Least Common Multiple of 9970,5048 with GCF Formula

Least Common Multiple of 9970,5048 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 9970,5048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9970,5048) = 2

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

GCF(9970,5048) x common factors =2 x 1 = 2

LCM(9970,5048) = ( 9970 × 5048 ) / 2

LCM(9970,5048) = 50328560 / 2

LCM(9970,5048) = 25164280


Lets's calculate GCF of 305,7000

5 305, 7000
61, 1400

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25164280/5

Therefore the LCM of Fractions 9970/305,5048/7000 is 5032856

Greatest Common Factor of 305,7000 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,7000 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 7000

List of positive integer factors of 7000 that divides 7000 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000

Greatest Common Factor

We found the factors 305,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 305,7000 is 5.


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 9970/305, 5048/7000

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 9970/305, 5048/7000?

Answer: LCM of Numerators as per given numbers 9970/305, 5048/7000 is

LCM of Numerators i.e. for 9970,5048 is 25164280

GCF of denominators i.e. for 305,7000 is 5.

Thus, LCM of Fractions is 5032856.Finally, LCM of Fractions for 9970/305, 5048/7000 is 5032856.