Least Common Multiple of 85/142, 58/968, 698/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/142, 58/968, 698/685 quickly i.e. 1720570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/142, 58/968, 698/685 is 1720570.

LCM(85/142, 58/968, 698/685) = 1720570

LCM of 85/142, 58/968, 698/685

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 85/142,58/968,698/685

Given numbers are 85/142,58/968,698/685

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 85,58,698

Least Common Multiple of Numerators i.e. LCM of 85,58,698 is 1720570.

GCF of Denominators means GCF of 142,968,685 as per the given fractions.

GCF of 142,968,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,58,698

LCM of Fractions 85/142,58/968,698/685 is 1720570

2 85, 58, 698
85, 29, 349

∴ So the LCM of the given numbers is 2 x 85 x 29 x 349 = 1720570

Least Common Multiple of 85,58,698 with GCF Formula

Least Common Multiple of 85,58,698 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 85,58,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,58,698) = 1

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

GCF(85,58,698) x common factors =1 x 2 = 2

LCM(85,58,698) = ( 85 × 58 × 698 ) / 2

LCM(85,58,698) = 3441140 / 2

LCM(85,58,698) = 1720570


Lets's calculate GCF of 142,968,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1720570/1

Therefore the LCM of Fractions 85/142,58/968,698/685 is 1720570

Greatest Common Factor of 142,968,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,968,685 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 142,968,685 . The biggest common factor number is the GCF number.
So the greatest common factor 142,968,685 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 85/142, 58/968, 698/685

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 85/142, 58/968, 698/685?

Answer: LCM of Numerators as per given numbers 85/142, 58/968, 698/685 is

LCM of Numerators i.e. for 85,58,698 is 1720570

GCF of denominators i.e. for 142,968,685 is 1.

Thus, LCM of Fractions is 1720570.Finally, LCM of Fractions for 85/142, 58/968, 698/685 is 1720570.