Least Common Multiple of 70/32, 12/66, 10/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/32, 12/66, 10/691 quickly i.e. 420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/32, 12/66, 10/691 is 420.

LCM(70/32, 12/66, 10/691) = 420

LCM of 70/32, 12/66, 10/691

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 70/32,12/66,10/691

Given numbers are 70/32,12/66,10/691

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 70,12,10

Least Common Multiple of Numerators i.e. LCM of 70,12,10 is 420.

GCF of Denominators means GCF of 32,66,691 as per the given fractions.

GCF of 32,66,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,12,10

LCM of Fractions 70/32,12/66,10/691 is 420

2 70, 12, 10
5 35, 6, 5
7, 6, 1

∴ So the LCM of the given numbers is 2 x 5 x 7 x 6 x 1 = 420

Least Common Multiple of 70,12,10 with GCF Formula

Least Common Multiple of 70,12,10 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 70,12,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,12,10) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(70,12,10) x common factors =2 x 10 = 20

LCM(70,12,10) = ( 70 × 12 × 10 ) / 20

LCM(70,12,10) = 8400 / 20

LCM(70,12,10) = 420


Lets's calculate GCF of 32,66,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/1

Therefore the LCM of Fractions 70/32,12/66,10/691 is 420

Greatest Common Factor of 32,66,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,66,691 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 32,66,691 . The biggest common factor number is the GCF number.
So the greatest common factor 32,66,691 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/32, 12/66, 10/691

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 70/32, 12/66, 10/691?

Answer: LCM of Numerators as per given numbers 70/32, 12/66, 10/691 is

LCM of Numerators i.e. for 70,12,10 is 420

GCF of denominators i.e. for 32,66,691 is 1.

Thus, LCM of Fractions is 420.Finally, LCM of Fractions for 70/32, 12/66, 10/691 is 420.