Least Common Multiple of 68/714, 48/841, 685/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/714, 48/841, 685/753 quickly i.e. 558960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/714, 48/841, 685/753 is 558960.

LCM(68/714, 48/841, 685/753) = 558960

LCM of 68/714, 48/841, 685/753

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 68/714,48/841,685/753

Given numbers are 68/714,48/841,685/753

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 68,48,685

Least Common Multiple of Numerators i.e. LCM of 68,48,685 is 558960.

GCF of Denominators means GCF of 714,841,753 as per the given fractions.

GCF of 714,841,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,48,685

LCM of Fractions 68/714,48/841,685/753 is 558960

2 68, 48, 685
2 34, 24, 685
17, 12, 685

∴ So the LCM of the given numbers is 2 x 2 x 17 x 12 x 685 = 558960

Least Common Multiple of 68,48,685 with GCF Formula

Least Common Multiple of 68,48,685 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 68,48,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,48,685) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,48,685) x common factors =1 x 4 = 4

LCM(68,48,685) = ( 68 × 48 × 685 ) / 4

LCM(68,48,685) = 2235840 / 4

LCM(68,48,685) = 558960


Lets's calculate GCF of 714,841,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 558960/1

Therefore the LCM of Fractions 68/714,48/841,685/753 is 558960

Greatest Common Factor of 714,841,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,841,753 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 714,841,753 . The biggest common factor number is the GCF number.
So the greatest common factor 714,841,753 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 68/714, 48/841, 685/753

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 68/714, 48/841, 685/753?

Answer: LCM of Numerators as per given numbers 68/714, 48/841, 685/753 is

LCM of Numerators i.e. for 68,48,685 is 558960

GCF of denominators i.e. for 714,841,753 is 1.

Thus, LCM of Fractions is 558960.Finally, LCM of Fractions for 68/714, 48/841, 685/753 is 558960.