Least Common Multiple of 7678/850, 7960/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7678/850, 7960/682 quickly i.e. 15279220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7678/850, 7960/682 is 15279220.

LCM(7678/850, 7960/682) = 15279220

LCM of 7678/850, 7960/682

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 7678/850,7960/682

Given numbers are 7678/850,7960/682

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 7678,7960

Least Common Multiple of Numerators i.e. LCM of 7678,7960 is 30558440.

GCF of Denominators means GCF of 850,682 as per the given fractions.

GCF of 850,682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7678,7960

LCM of Fractions 7678/850,7960/682 is 15279220

2 7678, 7960
3839, 3980

∴ So the LCM of the given numbers is 2 x 3839 x 3980 = 30558440

Least Common Multiple of 7678,7960 with GCF Formula

Least Common Multiple of 7678,7960 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 7678,7960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7678,7960) = 2

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

GCF(7678,7960) x common factors =2 x 1 = 2

LCM(7678,7960) = ( 7678 × 7960 ) / 2

LCM(7678,7960) = 61116880 / 2

LCM(7678,7960) = 30558440


Lets's calculate GCF of 850,682

2 850, 682
425, 341

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30558440/2

Therefore the LCM of Fractions 7678/850,7960/682 is 15279220

Greatest Common Factor of 850,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,682 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 850,682 . The biggest common factor number is the GCF number.
So the greatest common factor 850,682 is 2.


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 7678/850, 7960/682

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 7678/850, 7960/682?

Answer: LCM of Numerators as per given numbers 7678/850, 7960/682 is

LCM of Numerators i.e. for 7678,7960 is 30558440

GCF of denominators i.e. for 850,682 is 2.

Thus, LCM of Fractions is 15279220.Finally, LCM of Fractions for 7678/850, 7960/682 is 15279220.