Least Common Multiple of 28/778, 315/840, 777/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/778, 315/840, 777/101 quickly i.e. 46620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/778, 315/840, 777/101 is 46620.

LCM(28/778, 315/840, 777/101) = 46620

LCM of 28/778, 315/840, 777/101

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 28/778,315/840,777/101

Given numbers are 28/778,315/840,777/101

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 28,315,777

Least Common Multiple of Numerators i.e. LCM of 28,315,777 is 46620.

GCF of Denominators means GCF of 778,840,101 as per the given fractions.

GCF of 778,840,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,315,777

LCM of Fractions 28/778,315/840,777/101 is 46620

3 28, 315, 777
7 28, 105, 259
4, 15, 37

∴ So the LCM of the given numbers is 3 x 7 x 4 x 15 x 37 = 46620

Least Common Multiple of 28,315,777 with GCF Formula

Least Common Multiple of 28,315,777 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 28,315,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,315,777) = 7

common factors(in case of two or more numbers have common factors) = 21

GCF(28,315,777) x common factors =7 x 21 = 147

LCM(28,315,777) = ( 28 × 315 × 777 ) / 147

LCM(28,315,777) = 6853140 / 147

LCM(28,315,777) = 46620


Lets's calculate GCF of 778,840,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46620/1

Therefore the LCM of Fractions 28/778,315/840,777/101 is 46620

Greatest Common Factor of 778,840,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,840,101 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 778,840,101 . The biggest common factor number is the GCF number.
So the greatest common factor 778,840,101 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/778, 315/840, 777/101

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 28/778, 315/840, 777/101?

Answer: LCM of Numerators as per given numbers 28/778, 315/840, 777/101 is

LCM of Numerators i.e. for 28,315,777 is 46620

GCF of denominators i.e. for 778,840,101 is 1.

Thus, LCM of Fractions is 46620.Finally, LCM of Fractions for 28/778, 315/840, 777/101 is 46620.