Least Common Multiple of 668/63, 124/34, 219/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 668/63, 124/34, 219/152 quickly i.e. 4535052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/63, 124/34, 219/152 is 4535052.

LCM(668/63, 124/34, 219/152) = 4535052

LCM of 668/63, 124/34, 219/152

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 668/63,124/34,219/152

Given numbers are 668/63,124/34,219/152

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 668,124,219

Least Common Multiple of Numerators i.e. LCM of 668,124,219 is 4535052.

GCF of Denominators means GCF of 63,34,152 as per the given fractions.

GCF of 63,34,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,124,219

LCM of Fractions 668/63,124/34,219/152 is 4535052

2 668, 124, 219
2 334, 62, 219
167, 31, 219

∴ So the LCM of the given numbers is 2 x 2 x 167 x 31 x 219 = 4535052

Least Common Multiple of 668,124,219 with GCF Formula

Least Common Multiple of 668,124,219 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 668,124,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,124,219) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(668,124,219) x common factors =1 x 4 = 4

LCM(668,124,219) = ( 668 × 124 × 219 ) / 4

LCM(668,124,219) = 18140208 / 4

LCM(668,124,219) = 4535052


Lets's calculate GCF of 63,34,152

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4535052/1

Therefore the LCM of Fractions 668/63,124/34,219/152 is 4535052

Greatest Common Factor of 63,34,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,34,152 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 63,34,152 . The biggest common factor number is the GCF number.
So the greatest common factor 63,34,152 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 668/63, 124/34, 219/152

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 668/63, 124/34, 219/152?

Answer: LCM of Numerators as per given numbers 668/63, 124/34, 219/152 is

LCM of Numerators i.e. for 668,124,219 is 4535052

GCF of denominators i.e. for 63,34,152 is 1.

Thus, LCM of Fractions is 4535052.Finally, LCM of Fractions for 668/63, 124/34, 219/152 is 4535052.