Least Common Multiple of 60/930, 220/362, 434/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/930, 220/362, 434/668 quickly i.e. 71610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/930, 220/362, 434/668 is 71610.

LCM(60/930, 220/362, 434/668) = 71610

LCM of 60/930, 220/362, 434/668

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 60/930,220/362,434/668

Given numbers are 60/930,220/362,434/668

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 60,220,434

Least Common Multiple of Numerators i.e. LCM of 60,220,434 is 143220.

GCF of Denominators means GCF of 930,362,668 as per the given fractions.

GCF of 930,362,668 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,220,434

LCM of Fractions 60/930,220/362,434/668 is 71610

2 60, 220, 434
2 30, 110, 217
5 15, 55, 217
3, 11, 217

∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 11 x 217 = 143220

Least Common Multiple of 60,220,434 with GCF Formula

Least Common Multiple of 60,220,434 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 60,220,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,220,434) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(60,220,434) x common factors =2 x 20 = 40

LCM(60,220,434) = ( 60 × 220 × 434 ) / 40

LCM(60,220,434) = 5728800 / 40

LCM(60,220,434) = 143220


Lets's calculate GCF of 930,362,668

2 930, 362, 668
465, 181, 334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143220/2

Therefore the LCM of Fractions 60/930,220/362,434/668 is 71610

Greatest Common Factor of 930,362,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,362,668 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 930,362,668 . The biggest common factor number is the GCF number.
So the greatest common factor 930,362,668 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 60/930, 220/362, 434/668

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 60/930, 220/362, 434/668?

Answer: LCM of Numerators as per given numbers 60/930, 220/362, 434/668 is

LCM of Numerators i.e. for 60,220,434 is 143220

GCF of denominators i.e. for 930,362,668 is 2.

Thus, LCM of Fractions is 71610.Finally, LCM of Fractions for 60/930, 220/362, 434/668 is 71610.