Least Common Multiple of 949/57, 8510/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 949/57, 8510/152 quickly i.e. 8075990/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 949/57, 8510/152 is 8075990/19.

LCM(949/57, 8510/152) = 8075990/19

LCM of 949/57, 8510/152

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 949/57,8510/152

Given numbers are 949/57,8510/152

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 949,8510

Least Common Multiple of Numerators i.e. LCM of 949,8510 is 8075990.

GCF of Denominators means GCF of 57,152 as per the given fractions.

GCF of 57,152 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 949,8510

LCM of Fractions 949/57,8510/152 is 8075990/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 8075990

Least Common Multiple of 949,8510 with GCF Formula

Least Common Multiple of 949,8510 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 949,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,8510) = 1

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

GCF(949,8510) x common factors =1 x 1 = 1

LCM(949,8510) = ( 949 × 8510 ) / 1

LCM(949,8510) = 8075990 / 1

LCM(949,8510) = 8075990


Lets's calculate GCF of 57,152

19 57, 152
3, 8

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8075990/19

Therefore the LCM of Fractions 949/57,8510/152 is 8075990/19

Greatest Common Factor of 57,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,152 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 57,152 . The biggest common factor number is the GCF number.
So the greatest common factor 57,152 is 19.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 949/57, 8510/152

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 949/57, 8510/152?

Answer: LCM of Numerators as per given numbers 949/57, 8510/152 is

LCM of Numerators i.e. for 949,8510 is 8075990

GCF of denominators i.e. for 57,152 is 19.

Thus, LCM of Fractions is 8075990/19.Finally, LCM of Fractions for 949/57, 8510/152 is 8075990/19.