Least Common Multiple of 46/70, 99/35, 97/40, 74/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/70, 99/35, 97/40, 74/110 quickly i.e. 16344306/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/70, 99/35, 97/40, 74/110 is 16344306/5.

LCM(46/70, 99/35, 97/40, 74/110) = 16344306/5

LCM of 46/70, 99/35, 97/40, 74/110

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 46/70,99/35,97/40,74/110

Given numbers are 46/70,99/35,97/40,74/110

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 46,99,97,74

Least Common Multiple of Numerators i.e. LCM of 46,99,97,74 is 16344306.

GCF of Denominators means GCF of 70,35,40,110 as per the given fractions.

GCF of 70,35,40,110 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,99,97,74

LCM of Fractions 46/70,99/35,97/40,74/110 is 16344306/5

2 46, 99, 97, 74
23, 99, 97, 37

∴ So the LCM of the given numbers is 2 x 23 x 99 x 97 x 37 = 16344306

Least Common Multiple of 46,99,97,74 with GCF Formula

Least Common Multiple of 46,99,97,74 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 46,99,97,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,99,97,74) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,99,97,74) x common factors =1 x 2 = 2

LCM(46,99,97,74) = ( 46 × 99 × 97 × 74 ) / 2

LCM(46,99,97,74) = 32688612 / 2

LCM(46,99,97,74) = 16344306


Lets's calculate GCF of 70,35,40,110

5 70, 35, 40, 110
14, 7, 8, 22

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16344306/5

Therefore the LCM of Fractions 46/70,99/35,97/40,74/110 is 16344306/5

Greatest Common Factor of 70,35,40,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,35,40,110 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 70,35,40,110 . The biggest common factor number is the GCF number.
So the greatest common factor 70,35,40,110 is 5.


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 46/70, 99/35, 97/40, 74/110

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 46/70, 99/35, 97/40, 74/110?

Answer: LCM of Numerators as per given numbers 46/70, 99/35, 97/40, 74/110 is

LCM of Numerators i.e. for 46,99,97,74 is 16344306

GCF of denominators i.e. for 70,35,40,110 is 5.

Thus, LCM of Fractions is 16344306/5.Finally, LCM of Fractions for 46/70, 99/35, 97/40, 74/110 is 16344306/5.