Least Common Multiple of 70/34, 213/31, 114/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/34, 213/31, 114/446 quickly i.e. 283290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/34, 213/31, 114/446 is 283290.

LCM(70/34, 213/31, 114/446) = 283290

LCM of 70/34, 213/31, 114/446

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 70/34,213/31,114/446

Given numbers are 70/34,213/31,114/446

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 70,213,114

Least Common Multiple of Numerators i.e. LCM of 70,213,114 is 283290.

GCF of Denominators means GCF of 34,31,446 as per the given fractions.

GCF of 34,31,446 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,213,114

LCM of Fractions 70/34,213/31,114/446 is 283290

2 70, 213, 114
3 35, 213, 57
35, 71, 19

∴ So the LCM of the given numbers is 2 x 3 x 35 x 71 x 19 = 283290

Least Common Multiple of 70,213,114 with GCF Formula

Least Common Multiple of 70,213,114 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 70,213,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,213,114) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(70,213,114) x common factors =1 x 6 = 6

LCM(70,213,114) = ( 70 × 213 × 114 ) / 6

LCM(70,213,114) = 1699740 / 6

LCM(70,213,114) = 283290


Lets's calculate GCF of 34,31,446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283290/1

Therefore the LCM of Fractions 70/34,213/31,114/446 is 283290

Greatest Common Factor of 34,31,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,31,446 By Matching Biggest Common Factor Method

Factors of 34

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

1,2,17,34

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 34,31,446 . The biggest common factor number is the GCF number.
So the greatest common factor 34,31,446 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 70/34, 213/31, 114/446

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 70/34, 213/31, 114/446?

Answer: LCM of Numerators as per given numbers 70/34, 213/31, 114/446 is

LCM of Numerators i.e. for 70,213,114 is 283290

GCF of denominators i.e. for 34,31,446 is 1.

Thus, LCM of Fractions is 283290.Finally, LCM of Fractions for 70/34, 213/31, 114/446 is 283290.