Least Common Multiple of 74/70, 853/34, 719/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/70, 853/34, 719/736 quickly i.e. 22692359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/70, 853/34, 719/736 is 22692359.

LCM(74/70, 853/34, 719/736) = 22692359

LCM of 74/70, 853/34, 719/736

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 74/70,853/34,719/736

Given numbers are 74/70,853/34,719/736

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 74,853,719

Least Common Multiple of Numerators i.e. LCM of 74,853,719 is 45384718.

GCF of Denominators means GCF of 70,34,736 as per the given fractions.

GCF of 70,34,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,853,719

LCM of Fractions 74/70,853/34,719/736 is 22692359

Given numbers has no common factors except 1. So, there LCM is their product i.e 45384718

Least Common Multiple of 74,853,719 with GCF Formula

Least Common Multiple of 74,853,719 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 74,853,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,853,719) = 1

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

GCF(74,853,719) x common factors =1 x 1 = 1

LCM(74,853,719) = ( 74 × 853 × 719 ) / 1

LCM(74,853,719) = 45384718 / 1

LCM(74,853,719) = 45384718


Lets's calculate GCF of 70,34,736

2 70, 34, 736
35, 17, 368

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45384718/2

Therefore the LCM of Fractions 74/70,853/34,719/736 is 22692359

Greatest Common Factor of 70,34,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,34,736 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 34

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

1,2,17,34

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 70,34,736 . The biggest common factor number is the GCF number.
So the greatest common factor 70,34,736 is 2.


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 74/70, 853/34, 719/736

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 74/70, 853/34, 719/736?

Answer: LCM of Numerators as per given numbers 74/70, 853/34, 719/736 is

LCM of Numerators i.e. for 74,853,719 is 45384718

GCF of denominators i.e. for 70,34,736 is 2.

Thus, LCM of Fractions is 22692359.Finally, LCM of Fractions for 74/70, 853/34, 719/736 is 22692359.