Least Common Multiple of 6458/770, 8174/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6458/770, 8174/870 quickly i.e. 26393846/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6458/770, 8174/870 is 26393846/10.

LCM(6458/770, 8174/870) = 26393846/10

LCM of 6458/770, 8174/870

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 6458/770,8174/870

Given numbers are 6458/770,8174/870

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 6458,8174

Least Common Multiple of Numerators i.e. LCM of 6458,8174 is 26393846.

GCF of Denominators means GCF of 770,870 as per the given fractions.

GCF of 770,870 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6458,8174

LCM of Fractions 6458/770,8174/870 is 26393846/10

2 6458, 8174
3229, 4087

∴ So the LCM of the given numbers is 2 x 3229 x 4087 = 26393846

Least Common Multiple of 6458,8174 with GCF Formula

Least Common Multiple of 6458,8174 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 6458,8174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6458,8174) = 2

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

GCF(6458,8174) x common factors =2 x 1 = 2

LCM(6458,8174) = ( 6458 × 8174 ) / 2

LCM(6458,8174) = 52787692 / 2

LCM(6458,8174) = 26393846


Lets's calculate GCF of 770,870

2 770, 870
5 385, 435
77, 87

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26393846/10

Therefore the LCM of Fractions 6458/770,8174/870 is 26393846/10

Greatest Common Factor of 770,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,870 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 770,870 . The biggest common factor number is the GCF number.
So the greatest common factor 770,870 is 10.


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 6458/770, 8174/870

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 6458/770, 8174/870?

Answer: LCM of Numerators as per given numbers 6458/770, 8174/870 is

LCM of Numerators i.e. for 6458,8174 is 26393846

GCF of denominators i.e. for 770,870 is 10.

Thus, LCM of Fractions is 26393846/10.Finally, LCM of Fractions for 6458/770, 8174/870 is 26393846/10.