Least Common Multiple of 770/286, 748/748, 986/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/286, 748/748, 986/678 quickly i.e. 379610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/286, 748/748, 986/678 is 379610.

LCM(770/286, 748/748, 986/678) = 379610

LCM of 770/286, 748/748, 986/678

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 770/286,748/748,986/678

Given numbers are 770/286,748/748,986/678

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 770,748,986

Least Common Multiple of Numerators i.e. LCM of 770,748,986 is 759220.

GCF of Denominators means GCF of 286,748,678 as per the given fractions.

GCF of 286,748,678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,748,986

LCM of Fractions 770/286,748/748,986/678 is 379610

2 770, 748, 986
11 385, 374, 493
17 35, 34, 493
35, 2, 29

∴ So the LCM of the given numbers is 2 x 11 x 17 x 35 x 2 x 29 = 759220

Least Common Multiple of 770,748,986 with GCF Formula

Least Common Multiple of 770,748,986 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 770,748,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,748,986) = 2

common factors(in case of two or more numbers have common factors) = 374

GCF(770,748,986) x common factors =2 x 374 = 748

LCM(770,748,986) = ( 770 × 748 × 986 ) / 748

LCM(770,748,986) = 567896560 / 748

LCM(770,748,986) = 759220


Lets's calculate GCF of 286,748,678

2 286, 748, 678
143, 374, 339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 759220/2

Therefore the LCM of Fractions 770/286,748/748,986/678 is 379610

Greatest Common Factor of 286,748,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,748,678 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

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

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 286,748,678 . The biggest common factor number is the GCF number.
So the greatest common factor 286,748,678 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 770/286, 748/748, 986/678

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 770/286, 748/748, 986/678?

Answer: LCM of Numerators as per given numbers 770/286, 748/748, 986/678 is

LCM of Numerators i.e. for 770,748,986 is 759220

GCF of denominators i.e. for 286,748,678 is 2.

Thus, LCM of Fractions is 379610.Finally, LCM of Fractions for 770/286, 748/748, 986/678 is 379610.