Least Common Multiple of 610/69, 677/10, 790/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/69, 677/10, 790/748 quickly i.e. 32624630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/69, 677/10, 790/748 is 32624630.

LCM(610/69, 677/10, 790/748) = 32624630

LCM of 610/69, 677/10, 790/748

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 610/69,677/10,790/748

Given numbers are 610/69,677/10,790/748

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 610,677,790

Least Common Multiple of Numerators i.e. LCM of 610,677,790 is 32624630.

GCF of Denominators means GCF of 69,10,748 as per the given fractions.

GCF of 69,10,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,677,790

LCM of Fractions 610/69,677/10,790/748 is 32624630

2 610, 677, 790
5 305, 677, 395
61, 677, 79

∴ So the LCM of the given numbers is 2 x 5 x 61 x 677 x 79 = 32624630

Least Common Multiple of 610,677,790 with GCF Formula

Least Common Multiple of 610,677,790 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 610,677,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,677,790) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(610,677,790) x common factors =1 x 10 = 10

LCM(610,677,790) = ( 610 × 677 × 790 ) / 10

LCM(610,677,790) = 326246300 / 10

LCM(610,677,790) = 32624630


Lets's calculate GCF of 69,10,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32624630/1

Therefore the LCM of Fractions 610/69,677/10,790/748 is 32624630

Greatest Common Factor of 69,10,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,10,748 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 69,10,748 . The biggest common factor number is the GCF number.
So the greatest common factor 69,10,748 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 610/69, 677/10, 790/748

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 610/69, 677/10, 790/748?

Answer: LCM of Numerators as per given numbers 610/69, 677/10, 790/748 is

LCM of Numerators i.e. for 610,677,790 is 32624630

GCF of denominators i.e. for 69,10,748 is 1.

Thus, LCM of Fractions is 32624630.Finally, LCM of Fractions for 610/69, 677/10, 790/748 is 32624630.