Least Common Multiple of 70/11, 14/98, 18/38, 98/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/11, 14/98, 18/38, 98/700 quickly i.e. 4410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/11, 14/98, 18/38, 98/700 is 4410.

LCM(70/11, 14/98, 18/38, 98/700) = 4410

LCM of 70/11, 14/98, 18/38, 98/700

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 70/11,14/98,18/38,98/700

Given numbers are 70/11,14/98,18/38,98/700

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 70,14,18,98

Least Common Multiple of Numerators i.e. LCM of 70,14,18,98 is 4410.

GCF of Denominators means GCF of 11,98,38,700 as per the given fractions.

GCF of 11,98,38,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,14,18,98

LCM of Fractions 70/11,14/98,18/38,98/700 is 4410

2 70, 14, 18, 98
7 35, 7, 9, 49
5, 1, 9, 7

∴ So the LCM of the given numbers is 2 x 7 x 5 x 1 x 9 x 7 = 4410

Least Common Multiple of 70,14,18,98 with GCF Formula

Least Common Multiple of 70,14,18,98 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 70,14,18,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,14,18,98) = 2

common factors(in case of two or more numbers have common factors) = 196

GCF(70,14,18,98) x common factors =2 x 196 = 392

LCM(70,14,18,98) = ( 70 × 14 × 18 × 98 ) / 392

LCM(70,14,18,98) = 1728720 / 392

LCM(70,14,18,98) = 4410


Lets's calculate GCF of 11,98,38,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4410/1

Therefore the LCM of Fractions 70/11,14/98,18/38,98/700 is 4410

Greatest Common Factor of 11,98,38,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,98,38,700 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 38

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

1,2,19,38

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 11,98,38,700 . The biggest common factor number is the GCF number.
So the greatest common factor 11,98,38,700 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 70/11, 14/98, 18/38, 98/700

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 70/11, 14/98, 18/38, 98/700?

Answer: LCM of Numerators as per given numbers 70/11, 14/98, 18/38, 98/700 is

LCM of Numerators i.e. for 70,14,18,98 is 4410

GCF of denominators i.e. for 11,98,38,700 is 1.

Thus, LCM of Fractions is 4410.Finally, LCM of Fractions for 70/11, 14/98, 18/38, 98/700 is 4410.