Least Common Multiple of 73/84, 31/56, 707/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/84, 31/56, 707/780 quickly i.e. 1599941/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/84, 31/56, 707/780 is 1599941/4.

LCM(73/84, 31/56, 707/780) = 1599941/4

LCM of 73/84, 31/56, 707/780

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 73/84,31/56,707/780

Given numbers are 73/84,31/56,707/780

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 73,31,707

Least Common Multiple of Numerators i.e. LCM of 73,31,707 is 1599941.

GCF of Denominators means GCF of 84,56,780 as per the given fractions.

GCF of 84,56,780 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,31,707

LCM of Fractions 73/84,31/56,707/780 is 1599941/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1599941

Least Common Multiple of 73,31,707 with GCF Formula

Least Common Multiple of 73,31,707 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 73,31,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,31,707) = 1

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

GCF(73,31,707) x common factors =1 x 1 = 1

LCM(73,31,707) = ( 73 × 31 × 707 ) / 1

LCM(73,31,707) = 1599941 / 1

LCM(73,31,707) = 1599941


Lets's calculate GCF of 84,56,780

2 84, 56, 780
2 42, 28, 390
21, 14, 195

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1599941/4

Therefore the LCM of Fractions 73/84,31/56,707/780 is 1599941/4

Greatest Common Factor of 84,56,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,56,780 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 84,56,780 . The biggest common factor number is the GCF number.
So the greatest common factor 84,56,780 is 4.


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 73/84, 31/56, 707/780

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 73/84, 31/56, 707/780?

Answer: LCM of Numerators as per given numbers 73/84, 31/56, 707/780 is

LCM of Numerators i.e. for 73,31,707 is 1599941

GCF of denominators i.e. for 84,56,780 is 4.

Thus, LCM of Fractions is 1599941/4.Finally, LCM of Fractions for 73/84, 31/56, 707/780 is 1599941/4.