Least Common Multiple of 70/47, 62/16, 34/35, 24/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/47, 62/16, 34/35, 24/948 quickly i.e. 442680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/47, 62/16, 34/35, 24/948 is 442680.

LCM(70/47, 62/16, 34/35, 24/948) = 442680

LCM of 70/47, 62/16, 34/35, 24/948

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 70/47,62/16,34/35,24/948

Given numbers are 70/47,62/16,34/35,24/948

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 70,62,34,24

Least Common Multiple of Numerators i.e. LCM of 70,62,34,24 is 442680.

GCF of Denominators means GCF of 47,16,35,948 as per the given fractions.

GCF of 47,16,35,948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,62,34,24

LCM of Fractions 70/47,62/16,34/35,24/948 is 442680

2 70, 62, 34, 24
35, 31, 17, 12

∴ So the LCM of the given numbers is 2 x 35 x 31 x 17 x 12 = 442680

Least Common Multiple of 70,62,34,24 with GCF Formula

Least Common Multiple of 70,62,34,24 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 70,62,34,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,62,34,24) = 2

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

GCF(70,62,34,24) x common factors =2 x 4 = 8

LCM(70,62,34,24) = ( 70 × 62 × 34 × 24 ) / 8

LCM(70,62,34,24) = 3541440 / 8

LCM(70,62,34,24) = 442680


Lets's calculate GCF of 47,16,35,948

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442680/1

Therefore the LCM of Fractions 70/47,62/16,34/35,24/948 is 442680

Greatest Common Factor of 47,16,35,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,16,35,948 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 47,16,35,948 . The biggest common factor number is the GCF number.
So the greatest common factor 47,16,35,948 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/47, 62/16, 34/35, 24/948

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 70/47, 62/16, 34/35, 24/948?

Answer: LCM of Numerators as per given numbers 70/47, 62/16, 34/35, 24/948 is

LCM of Numerators i.e. for 70,62,34,24 is 442680

GCF of denominators i.e. for 47,16,35,948 is 1.

Thus, LCM of Fractions is 442680.Finally, LCM of Fractions for 70/47, 62/16, 34/35, 24/948 is 442680.