Least Common Multiple of 70/36, 32/196, 848/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/36, 32/196, 848/276 quickly i.e. 14840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/36, 32/196, 848/276 is 14840.

LCM(70/36, 32/196, 848/276) = 14840

LCM of 70/36, 32/196, 848/276

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 70/36,32/196,848/276

Given numbers are 70/36,32/196,848/276

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 70,32,848

Least Common Multiple of Numerators i.e. LCM of 70,32,848 is 59360.

GCF of Denominators means GCF of 36,196,276 as per the given fractions.

GCF of 36,196,276 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,32,848

LCM of Fractions 70/36,32/196,848/276 is 14840

2 70, 32, 848
2 35, 16, 424
2 35, 8, 212
2 35, 4, 106
35, 2, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 35 x 2 x 53 = 59360

Least Common Multiple of 70,32,848 with GCF Formula

Least Common Multiple of 70,32,848 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 70,32,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,32,848) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(70,32,848) x common factors =2 x 16 = 32

LCM(70,32,848) = ( 70 × 32 × 848 ) / 32

LCM(70,32,848) = 1899520 / 32

LCM(70,32,848) = 59360


Lets's calculate GCF of 36,196,276

2 36, 196, 276
2 18, 98, 138
9, 49, 69

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59360/4

Therefore the LCM of Fractions 70/36,32/196,848/276 is 14840

Greatest Common Factor of 36,196,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,196,276 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 36,196,276 . The biggest common factor number is the GCF number.
So the greatest common factor 36,196,276 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/36, 32/196, 848/276

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 70/36, 32/196, 848/276?

Answer: LCM of Numerators as per given numbers 70/36, 32/196, 848/276 is

LCM of Numerators i.e. for 70,32,848 is 59360

GCF of denominators i.e. for 36,196,276 is 4.

Thus, LCM of Fractions is 14840.Finally, LCM of Fractions for 70/36, 32/196, 848/276 is 14840.