Least Common Multiple of 70/67, 312/23, 939/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/67, 312/23, 939/970 quickly i.e. 3417960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/67, 312/23, 939/970 is 3417960.

LCM(70/67, 312/23, 939/970) = 3417960

LCM of 70/67, 312/23, 939/970

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 70/67,312/23,939/970

Given numbers are 70/67,312/23,939/970

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 70,312,939

Least Common Multiple of Numerators i.e. LCM of 70,312,939 is 3417960.

GCF of Denominators means GCF of 67,23,970 as per the given fractions.

GCF of 67,23,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,312,939

LCM of Fractions 70/67,312/23,939/970 is 3417960

2 70, 312, 939
3 35, 156, 939
35, 52, 313

∴ So the LCM of the given numbers is 2 x 3 x 35 x 52 x 313 = 3417960

Least Common Multiple of 70,312,939 with GCF Formula

Least Common Multiple of 70,312,939 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 70,312,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,312,939) = 1

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

GCF(70,312,939) x common factors =1 x 6 = 6

LCM(70,312,939) = ( 70 × 312 × 939 ) / 6

LCM(70,312,939) = 20507760 / 6

LCM(70,312,939) = 3417960


Lets's calculate GCF of 67,23,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3417960/1

Therefore the LCM of Fractions 70/67,312/23,939/970 is 3417960

Greatest Common Factor of 67,23,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,23,970 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 67,23,970 . The biggest common factor number is the GCF number.
So the greatest common factor 67,23,970 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 70/67, 312/23, 939/970

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 70/67, 312/23, 939/970?

Answer: LCM of Numerators as per given numbers 70/67, 312/23, 939/970 is

LCM of Numerators i.e. for 70,312,939 is 3417960

GCF of denominators i.e. for 67,23,970 is 1.

Thus, LCM of Fractions is 3417960.Finally, LCM of Fractions for 70/67, 312/23, 939/970 is 3417960.