Least Common Multiple of 698/35, 301/4680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/35, 301/4680 quickly i.e. 210098/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/35, 301/4680 is 210098/5.

LCM(698/35, 301/4680) = 210098/5

LCM of 698/35, 301/4680

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 698/35,301/4680

Given numbers are 698/35,301/4680

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 698,301

Least Common Multiple of Numerators i.e. LCM of 698,301 is 210098.

GCF of Denominators means GCF of 35,4680 as per the given fractions.

GCF of 35,4680 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,301

LCM of Fractions 698/35,301/4680 is 210098/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 210098

Least Common Multiple of 698,301 with GCF Formula

Least Common Multiple of 698,301 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 698,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,301) = 1

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

GCF(698,301) x common factors =1 x 1 = 1

LCM(698,301) = ( 698 × 301 ) / 1

LCM(698,301) = 210098 / 1

LCM(698,301) = 210098


Lets's calculate GCF of 35,4680

5 35, 4680
7, 936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210098/5

Therefore the LCM of Fractions 698/35,301/4680 is 210098/5

Greatest Common Factor of 35,4680 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,4680 By Matching Biggest Common Factor Method

Factors of 35

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

1,5,7,35

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680

Greatest Common Factor

We found the factors 35,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 35,4680 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 698/35, 301/4680

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 698/35, 301/4680?

Answer: LCM of Numerators as per given numbers 698/35, 301/4680 is

LCM of Numerators i.e. for 698,301 is 210098

GCF of denominators i.e. for 35,4680 is 5.

Thus, LCM of Fractions is 210098/5.Finally, LCM of Fractions for 698/35, 301/4680 is 210098/5.