Least Common Multiple of 949/425, 279/325, 730/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 949/425, 279/325, 730/280 quickly i.e. 529542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 949/425, 279/325, 730/280 is 529542.

LCM(949/425, 279/325, 730/280) = 529542

LCM of 949/425, 279/325, 730/280

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 949/425,279/325,730/280

Given numbers are 949/425,279/325,730/280

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 949,279,730

Least Common Multiple of Numerators i.e. LCM of 949,279,730 is 2647710.

GCF of Denominators means GCF of 425,325,280 as per the given fractions.

GCF of 425,325,280 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 949,279,730

LCM of Fractions 949/425,279/325,730/280 is 529542

73 949, 279, 730
13, 279, 10

∴ So the LCM of the given numbers is 73 x 13 x 279 x 10 = 2647710

Least Common Multiple of 949,279,730 with GCF Formula

Least Common Multiple of 949,279,730 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 949,279,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,279,730) = 1

common factors(in case of two or more numbers have common factors) = 73

GCF(949,279,730) x common factors =1 x 73 = 73

LCM(949,279,730) = ( 949 × 279 × 730 ) / 73

LCM(949,279,730) = 193282830 / 73

LCM(949,279,730) = 2647710


Lets's calculate GCF of 425,325,280

5 425, 325, 280
85, 65, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2647710/5

Therefore the LCM of Fractions 949/425,279/325,730/280 is 529542

Greatest Common Factor of 425,325,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,325,280 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 425,325,280 . The biggest common factor number is the GCF number.
So the greatest common factor 425,325,280 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 949/425, 279/325, 730/280

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 949/425, 279/325, 730/280?

Answer: LCM of Numerators as per given numbers 949/425, 279/325, 730/280 is

LCM of Numerators i.e. for 949,279,730 is 2647710

GCF of denominators i.e. for 425,325,280 is 5.

Thus, LCM of Fractions is 529542.Finally, LCM of Fractions for 949/425, 279/325, 730/280 is 529542.