Least Common Multiple of 70/38, 51/15, 79/47, 19/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/38, 51/15, 79/47, 19/751 quickly i.e. 5358570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/38, 51/15, 79/47, 19/751 is 5358570.

LCM(70/38, 51/15, 79/47, 19/751) = 5358570

LCM of 70/38, 51/15, 79/47, 19/751

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 70/38,51/15,79/47,19/751

Given numbers are 70/38,51/15,79/47,19/751

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 70,51,79,19

Least Common Multiple of Numerators i.e. LCM of 70,51,79,19 is 5358570.

GCF of Denominators means GCF of 38,15,47,751 as per the given fractions.

GCF of 38,15,47,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,51,79,19

LCM of Fractions 70/38,51/15,79/47,19/751 is 5358570

Given numbers has no common factors except 1. So, there LCM is their product i.e 5358570

Least Common Multiple of 70,51,79,19 with GCF Formula

Least Common Multiple of 70,51,79,19 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 70,51,79,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,51,79,19) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(70,51,79,19) x common factors =1 x 1 = 1

LCM(70,51,79,19) = ( 70 × 51 × 79 × 19 ) / 1

LCM(70,51,79,19) = 5358570 / 1

LCM(70,51,79,19) = 5358570


Lets's calculate GCF of 38,15,47,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5358570/1

Therefore the LCM of Fractions 70/38,51/15,79/47,19/751 is 5358570

Greatest Common Factor of 38,15,47,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,15,47,751 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 38,15,47,751 . The biggest common factor number is the GCF number.
So the greatest common factor 38,15,47,751 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/38, 51/15, 79/47, 19/751

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 70/38, 51/15, 79/47, 19/751?

Answer: LCM of Numerators as per given numbers 70/38, 51/15, 79/47, 19/751 is

LCM of Numerators i.e. for 70,51,79,19 is 5358570

GCF of denominators i.e. for 38,15,47,751 is 1.

Thus, LCM of Fractions is 5358570.Finally, LCM of Fractions for 70/38, 51/15, 79/47, 19/751 is 5358570.