Least Common Multiple of 28/862, 236/676, 947/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/862, 236/676, 947/850 quickly i.e. 782222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/862, 236/676, 947/850 is 782222.

LCM(28/862, 236/676, 947/850) = 782222

LCM of 28/862, 236/676, 947/850

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 28/862,236/676,947/850

Given numbers are 28/862,236/676,947/850

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 28,236,947

Least Common Multiple of Numerators i.e. LCM of 28,236,947 is 1564444.

GCF of Denominators means GCF of 862,676,850 as per the given fractions.

GCF of 862,676,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,236,947

LCM of Fractions 28/862,236/676,947/850 is 782222

2 28, 236, 947
2 14, 118, 947
7, 59, 947

∴ So the LCM of the given numbers is 2 x 2 x 7 x 59 x 947 = 1564444

Least Common Multiple of 28,236,947 with GCF Formula

Least Common Multiple of 28,236,947 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 28,236,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,236,947) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,236,947) x common factors =1 x 4 = 4

LCM(28,236,947) = ( 28 × 236 × 947 ) / 4

LCM(28,236,947) = 6257776 / 4

LCM(28,236,947) = 1564444


Lets's calculate GCF of 862,676,850

2 862, 676, 850
431, 338, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1564444/2

Therefore the LCM of Fractions 28/862,236/676,947/850 is 782222

Greatest Common Factor of 862,676,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,676,850 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

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

Greatest Common Factor

We found the factors 862,676,850 . The biggest common factor number is the GCF number.
So the greatest common factor 862,676,850 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/862, 236/676, 947/850

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 28/862, 236/676, 947/850?

Answer: LCM of Numerators as per given numbers 28/862, 236/676, 947/850 is

LCM of Numerators i.e. for 28,236,947 is 1564444

GCF of denominators i.e. for 862,676,850 is 2.

Thus, LCM of Fractions is 782222.Finally, LCM of Fractions for 28/862, 236/676, 947/850 is 782222.