Least Common Multiple of 4/88, 5/30, 37/10, 93/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4/88, 5/30, 37/10, 93/518 quickly i.e. 34410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/88, 5/30, 37/10, 93/518 is 34410.

LCM(4/88, 5/30, 37/10, 93/518) = 34410

LCM of 4/88, 5/30, 37/10, 93/518

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 4/88,5/30,37/10,93/518

Given numbers are 4/88,5/30,37/10,93/518

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 4,5,37,93

Least Common Multiple of Numerators i.e. LCM of 4,5,37,93 is 68820.

GCF of Denominators means GCF of 88,30,10,518 as per the given fractions.

GCF of 88,30,10,518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,5,37,93

LCM of Fractions 4/88,5/30,37/10,93/518 is 34410

Given numbers has no common factors except 1. So, there LCM is their product i.e 68820

Least Common Multiple of 4,5,37,93 with GCF Formula

Least Common Multiple of 4,5,37,93 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 4,5,37,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,5,37,93) = 1

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

GCF(4,5,37,93) x common factors =1 x 1 = 1

LCM(4,5,37,93) = ( 4 × 5 × 37 × 93 ) / 1

LCM(4,5,37,93) = 68820 / 1

LCM(4,5,37,93) = 68820


Lets's calculate GCF of 88,30,10,518

2 88, 30, 10, 518
44, 15, 5, 259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68820/2

Therefore the LCM of Fractions 4/88,5/30,37/10,93/518 is 34410

Greatest Common Factor of 88,30,10,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,30,10,518 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 88,30,10,518 . The biggest common factor number is the GCF number.
So the greatest common factor 88,30,10,518 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4/88, 5/30, 37/10, 93/518

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 4/88, 5/30, 37/10, 93/518?

Answer: LCM of Numerators as per given numbers 4/88, 5/30, 37/10, 93/518 is

LCM of Numerators i.e. for 4,5,37,93 is 68820

GCF of denominators i.e. for 88,30,10,518 is 2.

Thus, LCM of Fractions is 34410.Finally, LCM of Fractions for 4/88, 5/30, 37/10, 93/518 is 34410.