Least Common Multiple of 688/78, 840/7770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/78, 840/7770 quickly i.e. 12040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/78, 840/7770 is 12040.

LCM(688/78, 840/7770) = 12040

LCM of 688/78, 840/7770

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 688/78,840/7770

Given numbers are 688/78,840/7770

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 688,840

Least Common Multiple of Numerators i.e. LCM of 688,840 is 72240.

GCF of Denominators means GCF of 78,7770 as per the given fractions.

GCF of 78,7770 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,840

LCM of Fractions 688/78,840/7770 is 12040

2 688, 840
2 344, 420
2 172, 210
86, 105

∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 105 = 72240

Least Common Multiple of 688,840 with GCF Formula

Least Common Multiple of 688,840 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 688,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,840) = 8

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

GCF(688,840) x common factors =8 x 1 = 8

LCM(688,840) = ( 688 × 840 ) / 8

LCM(688,840) = 577920 / 8

LCM(688,840) = 72240


Lets's calculate GCF of 78,7770

2 78, 7770
3 39, 3885
13, 1295

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72240/6

Therefore the LCM of Fractions 688/78,840/7770 is 12040

Greatest Common Factor of 78,7770 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,7770 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 7770

List of positive integer factors of 7770 that divides 7770 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770

Greatest Common Factor

We found the factors 78,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 78,7770 is 6.


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 688/78, 840/7770

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 688/78, 840/7770?

Answer: LCM of Numerators as per given numbers 688/78, 840/7770 is

LCM of Numerators i.e. for 688,840 is 72240

GCF of denominators i.e. for 78,7770 is 6.

Thus, LCM of Fractions is 12040.Finally, LCM of Fractions for 688/78, 840/7770 is 12040.