Least Common Multiple of 836/70, 650/76, 769/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 836/70, 650/76, 769/904 quickly i.e. 104468650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/70, 650/76, 769/904 is 104468650.

LCM(836/70, 650/76, 769/904) = 104468650

LCM of 836/70, 650/76, 769/904

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 836/70,650/76,769/904

Given numbers are 836/70,650/76,769/904

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 836,650,769

Least Common Multiple of Numerators i.e. LCM of 836,650,769 is 208937300.

GCF of Denominators means GCF of 70,76,904 as per the given fractions.

GCF of 70,76,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,650,769

LCM of Fractions 836/70,650/76,769/904 is 104468650

2 836, 650, 769
418, 325, 769

∴ So the LCM of the given numbers is 2 x 418 x 325 x 769 = 208937300

Least Common Multiple of 836,650,769 with GCF Formula

Least Common Multiple of 836,650,769 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 836,650,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,650,769) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(836,650,769) x common factors =1 x 2 = 2

LCM(836,650,769) = ( 836 × 650 × 769 ) / 2

LCM(836,650,769) = 417874600 / 2

LCM(836,650,769) = 208937300


Lets's calculate GCF of 70,76,904

2 70, 76, 904
35, 38, 452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208937300/2

Therefore the LCM of Fractions 836/70,650/76,769/904 is 104468650

Greatest Common Factor of 70,76,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,76,904 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 70,76,904 . The biggest common factor number is the GCF number.
So the greatest common factor 70,76,904 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 836/70, 650/76, 769/904

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 836/70, 650/76, 769/904?

Answer: LCM of Numerators as per given numbers 836/70, 650/76, 769/904 is

LCM of Numerators i.e. for 836,650,769 is 208937300

GCF of denominators i.e. for 70,76,904 is 2.

Thus, LCM of Fractions is 104468650.Finally, LCM of Fractions for 836/70, 650/76, 769/904 is 104468650.