Least Common Multiple of 836/24, 7262/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 836/24, 7262/350 quickly i.e. 1517758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/24, 7262/350 is 1517758.

LCM(836/24, 7262/350) = 1517758

LCM of 836/24, 7262/350

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 836/24,7262/350

Given numbers are 836/24,7262/350

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 836,7262

Least Common Multiple of Numerators i.e. LCM of 836,7262 is 3035516.

GCF of Denominators means GCF of 24,350 as per the given fractions.

GCF of 24,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,7262

LCM of Fractions 836/24,7262/350 is 1517758

2 836, 7262
418, 3631

∴ So the LCM of the given numbers is 2 x 418 x 3631 = 3035516

Least Common Multiple of 836,7262 with GCF Formula

Least Common Multiple of 836,7262 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 836,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,7262) = 2

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

GCF(836,7262) x common factors =2 x 1 = 2

LCM(836,7262) = ( 836 × 7262 ) / 2

LCM(836,7262) = 6071032 / 2

LCM(836,7262) = 3035516


Lets's calculate GCF of 24,350

2 24, 350
12, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3035516/2

Therefore the LCM of Fractions 836/24,7262/350 is 1517758

Greatest Common Factor of 24,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,350 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 24,350 . The biggest common factor number is the GCF number.
So the greatest common factor 24,350 is 2.


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Frequently Asked Questions on Fractional LCM of 836/24, 7262/350

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 836/24, 7262/350?

Answer: LCM of Numerators as per given numbers 836/24, 7262/350 is

LCM of Numerators i.e. for 836,7262 is 3035516

GCF of denominators i.e. for 24,350 is 2.

Thus, LCM of Fractions is 1517758.Finally, LCM of Fractions for 836/24, 7262/350 is 1517758.