Least Common Multiple of 49/515, 70/814, 739/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/515, 70/814, 739/790 quickly i.e. 362110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/515, 70/814, 739/790 is 362110.

LCM(49/515, 70/814, 739/790) = 362110

LCM of 49/515, 70/814, 739/790

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 49/515,70/814,739/790

Given numbers are 49/515,70/814,739/790

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 49,70,739

Least Common Multiple of Numerators i.e. LCM of 49,70,739 is 362110.

GCF of Denominators means GCF of 515,814,790 as per the given fractions.

GCF of 515,814,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,70,739

LCM of Fractions 49/515,70/814,739/790 is 362110

7 49, 70, 739
7, 10, 739

∴ So the LCM of the given numbers is 7 x 7 x 10 x 739 = 362110

Least Common Multiple of 49,70,739 with GCF Formula

Least Common Multiple of 49,70,739 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 49,70,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,70,739) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,70,739) x common factors =1 x 7 = 7

LCM(49,70,739) = ( 49 × 70 × 739 ) / 7

LCM(49,70,739) = 2534770 / 7

LCM(49,70,739) = 362110


Lets's calculate GCF of 515,814,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362110/1

Therefore the LCM of Fractions 49/515,70/814,739/790 is 362110

Greatest Common Factor of 515,814,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,814,790 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 515,814,790 . The biggest common factor number is the GCF number.
So the greatest common factor 515,814,790 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 49/515, 70/814, 739/790

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 49/515, 70/814, 739/790?

Answer: LCM of Numerators as per given numbers 49/515, 70/814, 739/790 is

LCM of Numerators i.e. for 49,70,739 is 362110

GCF of denominators i.e. for 515,814,790 is 1.

Thus, LCM of Fractions is 362110.Finally, LCM of Fractions for 49/515, 70/814, 739/790 is 362110.