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Least Common Multiple of 70/58, 306/72, 881/311

Know Least Common Multiple of fractions 70/58, 306/72, 881/311 quickly i.e. 9435510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/58, 306/72, 881/311 is 9435510.

LCM(70/58, 306/72, 881/311) = 9435510

LCM of 70/58, 306/72, 881/311

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 70/58,306/72,881/311

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 70,306,881

Least Common Multiple of Numerators i.e. LCM of 70,306,881 is 9435510.

GCF of Denominators means GCF of 58,72,311 as per the given fractions.

GCF of 58,72,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,306,881

Least Common Multiple (LCM) of 70,306,881 By Common Division

2 70, 306, 881
35, 153, 881

∴ So the LCM of the given numbers is 2 x 35 x 153 x 881 = 9435510

Least Common Multiple of 70,306,881 with GCF Formula

Least Common Multiple of 70,306,881 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 70,306,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,306,881) = 1

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

GCF(70,306,881) x common factors =1 x 2 = 2

LCM(70,306,881) = ( 70 × 306 × 881 ) / 2

LCM(70,306,881) = 18871020 / 2

LCM(70,306,881) = 9435510


Lets's calculate GCF of 58,72,311

Greatest Common Factor (GCF) of 58,72,311 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9435510/1

Therefore the LCM of Fractions 70/58,306/72,881/311 is 9435510

Greatest Common Factor of 58,72,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,72,311 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 58,72,311 . The biggest common factor number is the GCF number.
So the greatest common factor 58,72,311 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/58, 306/72, 881/311

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 70/58, 306/72, 881/311?

Answer: LCM of Numerators as per given numbers 70/58, 306/72, 881/311 is

LCM of Numerators i.e. for 70,306,881 is 9435510

GCF of denominators i.e. for 58,72,311 is 1.

Thus, LCM of Fractions is 9435510.Finally, LCM of Fractions for 70/58, 306/72, 881/311 is 9435510.