Least Common Multiple of 938/948, 3230/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 938/948, 3230/560 quickly i.e. 1514870/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/948, 3230/560 is 1514870/4.

LCM(938/948, 3230/560) = 1514870/4

LCM of 938/948, 3230/560

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 938/948,3230/560

Given numbers are 938/948,3230/560

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 938,3230

Least Common Multiple of Numerators i.e. LCM of 938,3230 is 1514870.

GCF of Denominators means GCF of 948,560 as per the given fractions.

GCF of 948,560 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,3230

LCM of Fractions 938/948,3230/560 is 1514870/4

2 938, 3230
469, 1615

∴ So the LCM of the given numbers is 2 x 469 x 1615 = 1514870

Least Common Multiple of 938,3230 with GCF Formula

Least Common Multiple of 938,3230 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 938,3230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,3230) = 2

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

GCF(938,3230) x common factors =2 x 1 = 2

LCM(938,3230) = ( 938 × 3230 ) / 2

LCM(938,3230) = 3029740 / 2

LCM(938,3230) = 1514870


Lets's calculate GCF of 948,560

2 948, 560
2 474, 280
237, 140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1514870/4

Therefore the LCM of Fractions 938/948,3230/560 is 1514870/4

Greatest Common Factor of 948,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,560 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 948,560 . The biggest common factor number is the GCF number.
So the greatest common factor 948,560 is 4.


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 938/948, 3230/560

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 938/948, 3230/560?

Answer: LCM of Numerators as per given numbers 938/948, 3230/560 is

LCM of Numerators i.e. for 938,3230 is 1514870

GCF of denominators i.e. for 948,560 is 4.

Thus, LCM of Fractions is 1514870/4.Finally, LCM of Fractions for 938/948, 3230/560 is 1514870/4.