Least Common Multiple of 28/910, 147/960, 851/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/910, 147/960, 851/350 quickly i.e. 500388/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/910, 147/960, 851/350 is 500388/10.

LCM(28/910, 147/960, 851/350) = 500388/10

LCM of 28/910, 147/960, 851/350

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 28/910,147/960,851/350

Given numbers are 28/910,147/960,851/350

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 28,147,851

Least Common Multiple of Numerators i.e. LCM of 28,147,851 is 500388.

GCF of Denominators means GCF of 910,960,350 as per the given fractions.

GCF of 910,960,350 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,147,851

LCM of Fractions 28/910,147/960,851/350 is 500388/10

7 28, 147, 851
4, 21, 851

∴ So the LCM of the given numbers is 7 x 4 x 21 x 851 = 500388

Least Common Multiple of 28,147,851 with GCF Formula

Least Common Multiple of 28,147,851 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 28,147,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,147,851) = 1

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

GCF(28,147,851) x common factors =1 x 7 = 7

LCM(28,147,851) = ( 28 × 147 × 851 ) / 7

LCM(28,147,851) = 3502716 / 7

LCM(28,147,851) = 500388


Lets's calculate GCF of 910,960,350

2 910, 960, 350
5 455, 480, 175
91, 96, 35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500388/10

Therefore the LCM of Fractions 28/910,147/960,851/350 is 500388/10

Greatest Common Factor of 910,960,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,960,350 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 910,960,350 . The biggest common factor number is the GCF number.
So the greatest common factor 910,960,350 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 28/910, 147/960, 851/350

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 28/910, 147/960, 851/350?

Answer: LCM of Numerators as per given numbers 28/910, 147/960, 851/350 is

LCM of Numerators i.e. for 28,147,851 is 500388

GCF of denominators i.e. for 910,960,350 is 10.

Thus, LCM of Fractions is 500388/10.Finally, LCM of Fractions for 28/910, 147/960, 851/350 is 500388/10.