Least Common Multiple of 930/948, 257/600, 218/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 930/948, 257/600, 218/836 quickly i.e. 26052090/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/948, 257/600, 218/836 is 26052090/4.

LCM(930/948, 257/600, 218/836) = 26052090/4

LCM of 930/948, 257/600, 218/836

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 930/948,257/600,218/836

Given numbers are 930/948,257/600,218/836

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 930,257,218

Least Common Multiple of Numerators i.e. LCM of 930,257,218 is 26052090.

GCF of Denominators means GCF of 948,600,836 as per the given fractions.

GCF of 948,600,836 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,257,218

LCM of Fractions 930/948,257/600,218/836 is 26052090/4

2 930, 257, 218
465, 257, 109

∴ So the LCM of the given numbers is 2 x 465 x 257 x 109 = 26052090

Least Common Multiple of 930,257,218 with GCF Formula

Least Common Multiple of 930,257,218 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 930,257,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,257,218) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(930,257,218) x common factors =1 x 2 = 2

LCM(930,257,218) = ( 930 × 257 × 218 ) / 2

LCM(930,257,218) = 52104180 / 2

LCM(930,257,218) = 26052090


Lets's calculate GCF of 948,600,836

2 948, 600, 836
2 474, 300, 418
237, 150, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26052090/4

Therefore the LCM of Fractions 930/948,257/600,218/836 is 26052090/4

Greatest Common Factor of 948,600,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,600,836 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 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 948,600,836 . The biggest common factor number is the GCF number.
So the greatest common factor 948,600,836 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 930/948, 257/600, 218/836

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 930/948, 257/600, 218/836?

Answer: LCM of Numerators as per given numbers 930/948, 257/600, 218/836 is

LCM of Numerators i.e. for 930,257,218 is 26052090

GCF of denominators i.e. for 948,600,836 is 4.

Thus, LCM of Fractions is 26052090/4.Finally, LCM of Fractions for 930/948, 257/600, 218/836 is 26052090/4.