Least Common Multiple of 70/75, 421/17, 931/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/75, 421/17, 931/698 quickly i.e. 3919510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/75, 421/17, 931/698 is 3919510.

LCM(70/75, 421/17, 931/698) = 3919510

LCM of 70/75, 421/17, 931/698

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 70/75,421/17,931/698

Given numbers are 70/75,421/17,931/698

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 70,421,931

Least Common Multiple of Numerators i.e. LCM of 70,421,931 is 3919510.

GCF of Denominators means GCF of 75,17,698 as per the given fractions.

GCF of 75,17,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,421,931

LCM of Fractions 70/75,421/17,931/698 is 3919510

7 70, 421, 931
10, 421, 133

∴ So the LCM of the given numbers is 7 x 10 x 421 x 133 = 3919510

Least Common Multiple of 70,421,931 with GCF Formula

Least Common Multiple of 70,421,931 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 70,421,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,421,931) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(70,421,931) x common factors =1 x 7 = 7

LCM(70,421,931) = ( 70 × 421 × 931 ) / 7

LCM(70,421,931) = 27436570 / 7

LCM(70,421,931) = 3919510


Lets's calculate GCF of 75,17,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3919510/1

Therefore the LCM of Fractions 70/75,421/17,931/698 is 3919510

Greatest Common Factor of 75,17,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,17,698 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 75,17,698 . The biggest common factor number is the GCF number.
So the greatest common factor 75,17,698 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 70/75, 421/17, 931/698

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 70/75, 421/17, 931/698?

Answer: LCM of Numerators as per given numbers 70/75, 421/17, 931/698 is

LCM of Numerators i.e. for 70,421,931 is 3919510

GCF of denominators i.e. for 75,17,698 is 1.

Thus, LCM of Fractions is 3919510.Finally, LCM of Fractions for 70/75, 421/17, 931/698 is 3919510.