Least Common Multiple of 70/184, 356/319, 875/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/184, 356/319, 875/366 quickly i.e. 311500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/184, 356/319, 875/366 is 311500.

LCM(70/184, 356/319, 875/366) = 311500

LCM of 70/184, 356/319, 875/366

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 70/184,356/319,875/366

Given numbers are 70/184,356/319,875/366

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 70,356,875

Least Common Multiple of Numerators i.e. LCM of 70,356,875 is 311500.

GCF of Denominators means GCF of 184,319,366 as per the given fractions.

GCF of 184,319,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,356,875

LCM of Fractions 70/184,356/319,875/366 is 311500

2 70, 356, 875
5 35, 178, 875
7 7, 178, 175
1, 178, 25

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 178 x 25 = 311500

Least Common Multiple of 70,356,875 with GCF Formula

Least Common Multiple of 70,356,875 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 70,356,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,356,875) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(70,356,875) x common factors =1 x 70 = 70

LCM(70,356,875) = ( 70 × 356 × 875 ) / 70

LCM(70,356,875) = 21805000 / 70

LCM(70,356,875) = 311500


Lets's calculate GCF of 184,319,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311500/1

Therefore the LCM of Fractions 70/184,356/319,875/366 is 311500

Greatest Common Factor of 184,319,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,319,366 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 184,319,366 . The biggest common factor number is the GCF number.
So the greatest common factor 184,319,366 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/184, 356/319, 875/366

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 70/184, 356/319, 875/366?

Answer: LCM of Numerators as per given numbers 70/184, 356/319, 875/366 is

LCM of Numerators i.e. for 70,356,875 is 311500

GCF of denominators i.e. for 184,319,366 is 1.

Thus, LCM of Fractions is 311500.Finally, LCM of Fractions for 70/184, 356/319, 875/366 is 311500.