Least Common Multiple of 199/70, 949/10, 676/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/70, 949/10, 676/649 quickly i.e. 9820252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/70, 949/10, 676/649 is 9820252.

LCM(199/70, 949/10, 676/649) = 9820252

LCM of 199/70, 949/10, 676/649

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 199/70,949/10,676/649

Given numbers are 199/70,949/10,676/649

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 199,949,676

Least Common Multiple of Numerators i.e. LCM of 199,949,676 is 9820252.

GCF of Denominators means GCF of 70,10,649 as per the given fractions.

GCF of 70,10,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,949,676

LCM of Fractions 199/70,949/10,676/649 is 9820252

13 199, 949, 676
199, 73, 52

∴ So the LCM of the given numbers is 13 x 199 x 73 x 52 = 9820252

Least Common Multiple of 199,949,676 with GCF Formula

Least Common Multiple of 199,949,676 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 199,949,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,949,676) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(199,949,676) x common factors =1 x 13 = 13

LCM(199,949,676) = ( 199 × 949 × 676 ) / 13

LCM(199,949,676) = 127663276 / 13

LCM(199,949,676) = 9820252


Lets's calculate GCF of 70,10,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9820252/1

Therefore the LCM of Fractions 199/70,949/10,676/649 is 9820252

Greatest Common Factor of 70,10,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,10,649 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 70,10,649 . The biggest common factor number is the GCF number.
So the greatest common factor 70,10,649 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 199/70, 949/10, 676/649

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 199/70, 949/10, 676/649?

Answer: LCM of Numerators as per given numbers 199/70, 949/10, 676/649 is

LCM of Numerators i.e. for 199,949,676 is 9820252

GCF of denominators i.e. for 70,10,649 is 1.

Thus, LCM of Fractions is 9820252.Finally, LCM of Fractions for 199/70, 949/10, 676/649 is 9820252.