Least Common Multiple of 55/78, 510/93, 762/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/78, 510/93, 762/820 quickly i.e. 712470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/78, 510/93, 762/820 is 712470.

LCM(55/78, 510/93, 762/820) = 712470

LCM of 55/78, 510/93, 762/820

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 55/78,510/93,762/820

Given numbers are 55/78,510/93,762/820

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 55,510,762

Least Common Multiple of Numerators i.e. LCM of 55,510,762 is 712470.

GCF of Denominators means GCF of 78,93,820 as per the given fractions.

GCF of 78,93,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,510,762

LCM of Fractions 55/78,510/93,762/820 is 712470

2 55, 510, 762
3 55, 255, 381
5 55, 85, 127
11, 17, 127

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 17 x 127 = 712470

Least Common Multiple of 55,510,762 with GCF Formula

Least Common Multiple of 55,510,762 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 55,510,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,510,762) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(55,510,762) x common factors =1 x 30 = 30

LCM(55,510,762) = ( 55 × 510 × 762 ) / 30

LCM(55,510,762) = 21374100 / 30

LCM(55,510,762) = 712470


Lets's calculate GCF of 78,93,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712470/1

Therefore the LCM of Fractions 55/78,510/93,762/820 is 712470

Greatest Common Factor of 78,93,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,93,820 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 78,93,820 . The biggest common factor number is the GCF number.
So the greatest common factor 78,93,820 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 55/78, 510/93, 762/820

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 55/78, 510/93, 762/820?

Answer: LCM of Numerators as per given numbers 55/78, 510/93, 762/820 is

LCM of Numerators i.e. for 55,510,762 is 712470

GCF of denominators i.e. for 78,93,820 is 1.

Thus, LCM of Fractions is 712470.Finally, LCM of Fractions for 55/78, 510/93, 762/820 is 712470.